Carfora, M. (Mauro)
Overview
Works:  24 works in 89 publications in 3 languages and 1,241 library holdings 

Genres:  Conference papers and proceedings Case studies Academic theses 
Roles:  Author, htt, Illustrator, Other, Editor, Opponent 
Classifications:  QC173.65, 530.11 
Publication Timeline
.
Most widely held works by
M Carfora
Quantum triangulations : moduli spaces, strings, and quantum computing by
M Carfora(
)
16 editions published in 2012 in English and German and held by 447 WorldCat member libraries worldwide
Triangulated Surfaces and Polyhedral Structures  Singular Euclidean Structures an Riemann Surfaces  Polyhedral Surfaces and the WeilPetersson Form  The Quantum Geometry of Polyhedral Surfaces  State Sum Models and Observables  Combinatorial Framework for Topological Quantum Computing  A Capsule of Moduli Space Theory  Spectral Theory on Polyhedral Surfaces  Index
16 editions published in 2012 in English and German and held by 447 WorldCat member libraries worldwide
Triangulated Surfaces and Polyhedral Structures  Singular Euclidean Structures an Riemann Surfaces  Polyhedral Surfaces and the WeilPetersson Form  The Quantum Geometry of Polyhedral Surfaces  State Sum Models and Observables  Combinatorial Framework for Topological Quantum Computing  A Capsule of Moduli Space Theory  Spectral Theory on Polyhedral Surfaces  Index
The geometry of dynamical triangulations by
Jan Ambjørn(
Book
)
16 editions published in 1997 in English and German and held by 356 WorldCat member libraries worldwide
This book analyses in depth the geometrical aspects of the simplicial quantum gravity model known as the dynamical triangulations approach. The authors provide a compact and convenient account suitable both to introduce the nonexpert reader to the spirit of the subject and to provide a wellchosen mathematical route to the heart of the matter for the expert. The techniques described in the book are novel and allow points of current interest in the subject of simplicial quantum gravity to be addressed. The authors discuss piecewise linear manifolds and give entropy estimates of the number of triangulations of 3 and 4manifolds. Continuum physics is recovered through scaling limits and computer simulation is used to study simplicial quantum gravity extensively. The beginner will appreciate the introduction to the field and the expert the comprehensive account of recent results and developments
16 editions published in 1997 in English and German and held by 356 WorldCat member libraries worldwide
This book analyses in depth the geometrical aspects of the simplicial quantum gravity model known as the dynamical triangulations approach. The authors provide a compact and convenient account suitable both to introduce the nonexpert reader to the spirit of the subject and to provide a wellchosen mathematical route to the heart of the matter for the expert. The techniques described in the book are novel and allow points of current interest in the subject of simplicial quantum gravity to be addressed. The authors discuss piecewise linear manifolds and give entropy estimates of the number of triangulations of 3 and 4manifolds. Continuum physics is recovered through scaling limits and computer simulation is used to study simplicial quantum gravity extensively. The beginner will appreciate the introduction to the field and the expert the comprehensive account of recent results and developments
Quantum triangulations : moduli space, quantum computing, nonlinear sigma models and Ricci flow by
M Carfora(
)
10 editions published in 2017 in English and held by 222 WorldCat member libraries worldwide
This book discusses key conceptual aspects and explores the connection between triangulated manifolds and quantum physics, using a set of case studies ranging from moduli space theory to quantum computing to provide an accessible introduction to this topic. Research on polyhedral manifolds often reveals unexpected connections between very distinct aspects of mathematics and physics. In particular, triangulated manifolds play an important role in settings such as Riemann moduli space theory, strings and quantum gravity, topological quantum field theory, condensed matter physics, critical phenomena and complex systems. Not only do they provide a natural discrete analogue to the smooth manifolds on which physical theories are typically formulated, but their appearance is also often a consequence of an underlying structure that naturally calls into play nontrivial aspects of representation theory, complex analysis and topology in a way that makes the basic geometric structures of the physical interactions involved clear. This second edition further emphasizes the essential role that triangulations play in modern mathematical physics, with a new and highly detailed chapter on the geometry of the dilatonic nonlinear sigma model and its subtle and manyfaceted connection with Ricci flow theory. This connection is treated in depth, pinpointing both the mathematical and physical aspects of the perturbative embedding of the Ricci flow in the renormalization group flow of nonlinear sigma models. The geometry of the dilaton field is discussed from a novel standpoint by using polyhedral manifolds and Riemannian metric measure spaces, emphasizing their role in connecting nonlinear sigma models' effective action to Perelman's energyfunctional. No other published account of this matter is so detailed and informative. This new edition also features an expanded appendix on Riemannian geometry, and a rich set of new illustrations to help the reader grasp the more difficult points of the theory. The book offers a valuable guide for all mathematicians and theoretical physicists working in the field of quantum geometry and its applications
10 editions published in 2017 in English and held by 222 WorldCat member libraries worldwide
This book discusses key conceptual aspects and explores the connection between triangulated manifolds and quantum physics, using a set of case studies ranging from moduli space theory to quantum computing to provide an accessible introduction to this topic. Research on polyhedral manifolds often reveals unexpected connections between very distinct aspects of mathematics and physics. In particular, triangulated manifolds play an important role in settings such as Riemann moduli space theory, strings and quantum gravity, topological quantum field theory, condensed matter physics, critical phenomena and complex systems. Not only do they provide a natural discrete analogue to the smooth manifolds on which physical theories are typically formulated, but their appearance is also often a consequence of an underlying structure that naturally calls into play nontrivial aspects of representation theory, complex analysis and topology in a way that makes the basic geometric structures of the physical interactions involved clear. This second edition further emphasizes the essential role that triangulations play in modern mathematical physics, with a new and highly detailed chapter on the geometry of the dilatonic nonlinear sigma model and its subtle and manyfaceted connection with Ricci flow theory. This connection is treated in depth, pinpointing both the mathematical and physical aspects of the perturbative embedding of the Ricci flow in the renormalization group flow of nonlinear sigma models. The geometry of the dilaton field is discussed from a novel standpoint by using polyhedral manifolds and Riemannian metric measure spaces, emphasizing their role in connecting nonlinear sigma models' effective action to Perelman's energyfunctional. No other published account of this matter is so detailed and informative. This new edition also features an expanded appendix on Riemannian geometry, and a rich set of new illustrations to help the reader grasp the more difficult points of the theory. The book offers a valuable guide for all mathematicians and theoretical physicists working in the field of quantum geometry and its applications
Integrable systems and quantum groups : Pavia (Italy), 12 March 1990 by
M Carfora(
Book
)
9 editions published in 1992 in English and Undetermined and held by 100 WorldCat member libraries worldwide
"The aim of this volume is to offer a set of high qualified contributions on recent advances in the theory of integrable systems and quantum groups."Preface
9 editions published in 1992 in English and Undetermined and held by 100 WorldCat member libraries worldwide
"The aim of this volume is to offer a set of high qualified contributions on recent advances in the theory of integrable systems and quantum groups."Preface
Flat and curved spacetimes by
George F. R Ellis(
Book
)
10 editions published between 1990 and 2000 in English and held by 35 WorldCat member libraries worldwide
10 editions published between 1990 and 2000 in English and held by 35 WorldCat member libraries worldwide
General Relativity And Gravitational Physics  Proceedings Of The 11th Italian Conference by
M Carfora(
)
1 edition published in 1996 in English and held by 22 WorldCat member libraries worldwide
1 edition published in 1996 in English and held by 22 WorldCat member libraries worldwide
11th Italian Conference on General Relativity and Gravitational Physics, SISSA, Trieste, September 2630, 1994 by Italian Conference on General Relativity and Gravitational Physics(
Book
)
5 editions published in 1996 in English and held by 17 WorldCat member libraries worldwide
5 editions published in 1996 in English and held by 17 WorldCat member libraries worldwide
Quantum Triangulations : Moduli Spaces, Strings, and Quantum Computing by
M Carfora(
)
2 editions published in 2012 in English and held by 13 WorldCat member libraries worldwide
2 editions published in 2012 in English and held by 13 WorldCat member libraries worldwide
BCFT and ribbon graphs as tools for open, closed string dualities by Valeria L Gili(
Book
)
4 editions published in 2007 in English and held by 8 WorldCat member libraries worldwide
4 editions published in 2007 in English and held by 8 WorldCat member libraries worldwide
Quantum Triangulations by Annalisa Marzuoli(
)
2 editions published between 2012 and 2017 in Undetermined and held by 3 WorldCat member libraries worldwide
2 editions published between 2012 and 2017 in Undetermined and held by 3 WorldCat member libraries worldwide
11th Italian Conference on General Relativity and Gravitational Physics, SISSA, Trieste, September 2630, 1994 by Trieste, Italy) Italian Conference on General Relativity and Gravitational Physics ( 1994(
)
1 edition published in 1996 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1996 in English and held by 3 WorldCat member libraries worldwide
Ricci Flow from the Renormalization of Nonlinear Sigma Models in the Framework of Euclidean Algebraic Quantum Field Theory by
M Carfora(
)
1 edition published in 2019 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2019 in English and held by 2 WorldCat member libraries worldwide
Implementing holographic projections in PonzanoRegge gravity(
)
1 edition published in 2001 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2001 in English and held by 2 WorldCat member libraries worldwide
Contributions to the dynamical formulation of general relativity by
M Carfora(
)
1 edition published in 1981 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1981 in English and held by 2 WorldCat member libraries worldwide
General relativity and gravitational physics : SISSA (Trieste), September 2630, 1994 by Italian Conference on General Relativity and Gravitational Physics(
Book
)
1 edition published in 1996 in English and held by 1 WorldCat member library worldwide
1 edition published in 1996 in English and held by 1 WorldCat member library worldwide
Is there proof that backreaction of inhomogeneities is irrelevant in cosmology?(
)
1 edition published in 2015 in English and held by 1 WorldCat member library worldwide
Abstract No. In a number of papers, Green and Wald argue that the standard FLRW model approximates our Universe extremely well on all scales, except close to strongfield astrophysical objects. In particular, they argue that the effect of inhomogeneities on average properties of the Universe (backreaction) is irrelevant. We show that this latter claim is not valid. Specifically, we demonstrate, referring to their recent review paper, that (i) their twodimensional example used to illustrate the fitting problem differs from the actual problem in important respects, and it assumes what is to be proven; (ii) the proof of the tracefree property of backreaction is unphysical and the theorem about it fails to be a mathematically general statement; (iii) the scheme that underlies the tracefree theorem does not involve averaging and therefore does not capture crucial nonlocal effects; (iv) their arguments are to a large extent coordinatedependent, and (v) many of their criticisms of backreaction frameworks do not apply to the published definitions of these frameworks. It is therefore incorrect to infer that Green and Wald have proven a general result that addresses the essential physical questions of backreaction in cosmology
1 edition published in 2015 in English and held by 1 WorldCat member library worldwide
Abstract No. In a number of papers, Green and Wald argue that the standard FLRW model approximates our Universe extremely well on all scales, except close to strongfield astrophysical objects. In particular, they argue that the effect of inhomogeneities on average properties of the Universe (backreaction) is irrelevant. We show that this latter claim is not valid. Specifically, we demonstrate, referring to their recent review paper, that (i) their twodimensional example used to illustrate the fitting problem differs from the actual problem in important respects, and it assumes what is to be proven; (ii) the proof of the tracefree property of backreaction is unphysical and the theorem about it fails to be a mathematically general statement; (iii) the scheme that underlies the tracefree theorem does not involve averaging and therefore does not capture crucial nonlocal effects; (iv) their arguments are to a large extent coordinatedependent, and (v) many of their criticisms of backreaction frameworks do not apply to the published definitions of these frameworks. It is therefore incorrect to infer that Green and Wald have proven a general result that addresses the essential physical questions of backreaction in cosmology
Reanimation et urgences by
M Carfora(
Book
)
1 edition published in 2012 in French and held by 1 WorldCat member library worldwide
1 edition published in 2012 in French and held by 1 WorldCat member library worldwide
Integrable systems and quantum groups : Workshop : Papers(
Book
)
1 edition published in 1992 in English and held by 1 WorldCat member library worldwide
1 edition published in 1992 in English and held by 1 WorldCat member library worldwide
Lecture notes in physics : monographs(
Book
)
1 edition published in 1997 in English and held by 1 WorldCat member library worldwide
1 edition published in 1997 in English and held by 1 WorldCat member library worldwide
Cosmologie inhomogène relativiste : modèles non perturbatifs et moyennes spatiales des équations d'Einstein by
Pierre Mourier(
)
1 edition published in 2019 in English and held by 1 WorldCat member library worldwide
In the standard model of cosmology, the global dynamics of the Universe is modelled via a highly symmetric background spacetime with homogeneous and isotropic spatial sections. The coupling of the homogeneous fluid sources to the overall expansion is then determined by the Einstein equations of General Relativity. In addition, the formation of inhomogeneous matter structures is described either via a relativistic perturbation scheme assuming small deviations of all fields to the prescribed homogeneous background, or using Newtonian dynamics within the same expanding background, depending on the scale and epoch. However, the interpretation of observations within this model calls for an unexpectedly accelerated expansion requiring a poorlyunderstood `Dark Energy' component, in addition to Dark Matter. Inhomogeneous cosmology aims at relaxing the restrictions of these models on the geometry and sources while staying within the framework of General Relativity. It can allow, in particular, for an improved modelling of the formation of structures accounting for strong deviations from homogeneity in the matter distribution and the geometry. It can also study the dynamical consequences, or backreaction effects, of the development of such inhomogeneities on the expansion of larger scales. Such a backreaction may then reproduce, at least partially, the behaviours attributed to Dark Energy or Dark Matter. During my PhD under the direction of Thomas Buchert, I have been working on several analytical aspects of generalrelativistic inhomogeneous cosmology. I present below the results of collaborations in which I played a major role in the context of the PhD. I first focussed on the expression of a relativistic Lagrangian approximation scheme for the description of the local dynamics of structures up to a nonlinear regime in irrotational perfect barotropic fluids. I then considered the effective description of inhomogeneous fluids with vorticity and a general energymomentum tensor in terms of two possible schemes of spatial averaging. These schemes are applicable to any choice of spatial hypersurfaces of averaging, providing for each choice a set of effective evolution equations, featuring several backreaction terms, for an averaging region comoving with the sources. This allows for a qualitative discussion of the dependence of the average equations and backreactions on the foliation choice. I also studied the rewriting of such averaging schemes and evolution equations under a unified and manifestly 4covariant form. This latter result will allow for a more explicit investigation of foliation dependence
1 edition published in 2019 in English and held by 1 WorldCat member library worldwide
In the standard model of cosmology, the global dynamics of the Universe is modelled via a highly symmetric background spacetime with homogeneous and isotropic spatial sections. The coupling of the homogeneous fluid sources to the overall expansion is then determined by the Einstein equations of General Relativity. In addition, the formation of inhomogeneous matter structures is described either via a relativistic perturbation scheme assuming small deviations of all fields to the prescribed homogeneous background, or using Newtonian dynamics within the same expanding background, depending on the scale and epoch. However, the interpretation of observations within this model calls for an unexpectedly accelerated expansion requiring a poorlyunderstood `Dark Energy' component, in addition to Dark Matter. Inhomogeneous cosmology aims at relaxing the restrictions of these models on the geometry and sources while staying within the framework of General Relativity. It can allow, in particular, for an improved modelling of the formation of structures accounting for strong deviations from homogeneity in the matter distribution and the geometry. It can also study the dynamical consequences, or backreaction effects, of the development of such inhomogeneities on the expansion of larger scales. Such a backreaction may then reproduce, at least partially, the behaviours attributed to Dark Energy or Dark Matter. During my PhD under the direction of Thomas Buchert, I have been working on several analytical aspects of generalrelativistic inhomogeneous cosmology. I present below the results of collaborations in which I played a major role in the context of the PhD. I first focussed on the expression of a relativistic Lagrangian approximation scheme for the description of the local dynamics of structures up to a nonlinear regime in irrotational perfect barotropic fluids. I then considered the effective description of inhomogeneous fluids with vorticity and a general energymomentum tensor in terms of two possible schemes of spatial averaging. These schemes are applicable to any choice of spatial hypersurfaces of averaging, providing for each choice a set of effective evolution equations, featuring several backreaction terms, for an averaging region comoving with the sources. This allows for a qualitative discussion of the dependence of the average equations and backreactions on the foliation choice. I also studied the rewriting of such averaging schemes and evolution equations under a unified and manifestly 4covariant form. This latter result will allow for a more explicit investigation of foliation dependence
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Related Identities
 Marzuoli, A. (Annalisa) Other Editor
 Ambjørn, Jan Author
 Martellini, M. (Maurizio) Other Editor
 Università di Pavia Other
 Istituto nazionale di fisica nucleare Other
 Ellis, George F. R. Author
 Williams, Ruth M.
 Reina, C.
 Francaviglia, M.
 Fre, Pietro
Useful Links
Associated Subjects
Cell aggregationMathematics Complex manifolds General relativity (Physics) Geometry Gravitation Manifolds (Mathematics) Mathematical physics Physics Quantum computing Quantum gravity Quantum groups Quantum theory Relativity (Physics) Space and time Special relativity (Physics) Triangulating manifolds