Behrend, K. (Kai)
Overview
Works:  15 works in 79 publications in 2 languages and 1,708 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Contributor, htt 
Classifications:  QA3, 514.23 
Publication Timeline
.
Most widely held works by
K Behrend
Enumerative invariants in algebraic geometry and string theory : lectures given at the C.I.M.E. Summer School held in Cetraro,
Italy, June 611, 2005 by
Marcos Marino(
)
21 editions published in 2008 in English and held by 652 WorldCat member libraries worldwide
"Starting in the middle of the 80s, there has been a growing and fruitful interaction between algebraic geometry and certain areas of theoretical highenergy physics, especially the various versions of string theory. Physical heuristics have provided inspiration for new mathematical definitions (such as that of GromovWitten invariants) leading in turn to the solution of problems in enumerative geometry. Conversely, the availability of mathematically rigorous definitions and theorems has benefited the physics research by providing the required evidence in fields where experimental testing seems problematic. The aim of this volume, a result of the CIME Summer School held in Cetraro, Italy, in 2005, is to cover part of the most recent and interesting findings in this subject."Jacket
21 editions published in 2008 in English and held by 652 WorldCat member libraries worldwide
"Starting in the middle of the 80s, there has been a growing and fruitful interaction between algebraic geometry and certain areas of theoretical highenergy physics, especially the various versions of string theory. Physical heuristics have provided inspiration for new mathematical definitions (such as that of GromovWitten invariants) leading in turn to the solution of problems in enumerative geometry. Conversely, the availability of mathematically rigorous definitions and theorems has benefited the physics research by providing the required evidence in fields where experimental testing seems problematic. The aim of this volume, a result of the CIME Summer School held in Cetraro, Italy, in 2005, is to cover part of the most recent and interesting findings in this subject."Jacket
Quantum cohomology : lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 30July 8, 1997 by
K Behrend(
Book
)
25 editions published between 2002 and 2004 in English and held by 565 WorldCat member libraries worldwide
The book gathers the lectures given at the C.I.M.E. summer school "Quantum Cohomology" held in Cetraro (Italy) from June 30th to July 8th, 1997. The lectures and the subsequent updating cover a large spectrum of the subject on the field, from the algebrogeometric point of view, to the symplectic approach, including recent developments of stringbranes theories and qhypergeometric functions
25 editions published between 2002 and 2004 in English and held by 565 WorldCat member libraries worldwide
The book gathers the lectures given at the C.I.M.E. summer school "Quantum Cohomology" held in Cetraro (Italy) from June 30th to July 8th, 1997. The lectures and the subsequent updating cover a large spectrum of the subject on the field, from the algebrogeometric point of view, to the symplectic approach, including recent developments of stringbranes theories and qhypergeometric functions
Derived ladic categories for algebraic stacks by
K Behrend(
Book
)
10 editions published in 2003 in English and held by 282 WorldCat member libraries worldwide
Introduction The $\ell$adic formalism Stratifications Topoi Algebraic stacks Convergent complexes Bibliography
10 editions published in 2003 in English and held by 282 WorldCat member libraries worldwide
Introduction The $\ell$adic formalism Stratifications Topoi Algebraic stacks Convergent complexes Bibliography
String topology for stacks by
K Behrend(
Book
)
9 editions published between 2011 and 2012 in English and held by 197 WorldCat member libraries worldwide
We establish the general machinery of string topology for differentiable stacks. This machinery allows us to treat on an equal footing free loops in stacks and hidden loops. In particular, we give a good notion of a free loop stack, and of a mapping stack $\map(Y,\XX)$, where $Y$ is a compact space and $\XX$ a topological stack, which is functorial both in $\XX$ and $Y$ and behaves well enough with respect to pushouts. We also construct a bivariant (in the sense of Fulton and MacPherson) theory for topological stacks: it gives us a flexible theory of Gysin maps which are automatically compatible with pullback, pushforward and products. Further we prove an excess formula in this context. We introduce oriented stacks, generalizing oriented manifolds, which are stacks on which we can do string topology. We prove that the homology of the free loop stack of an oriented stack and the homology of hidden loops (sometimes called ghost loops) are a Frobenius algebra which are related by a natural morphism of Frobenius algebras. We also prove that the homology of free loop stack has a natural structure of a BValgebra, which together with the Frobenius structure fits into an homological conformal field theories with closed positive boundaries. Using our general machinery, we construct an intersection pairing for (non necessarily compact) almost complex orbifolds which is in the same relation to the intersection pairing for manifolds as ChenRuan orbifold cupproduct is to ordinary cupproduct of manifolds. We show that the hidden loop product of almost complex is isomorphic to the orbifold intersection pairing twisted by a canonical class. Finally we gave some examples including the case of the classifying stacks [*/G] of a compact Lie group
9 editions published between 2011 and 2012 in English and held by 197 WorldCat member libraries worldwide
We establish the general machinery of string topology for differentiable stacks. This machinery allows us to treat on an equal footing free loops in stacks and hidden loops. In particular, we give a good notion of a free loop stack, and of a mapping stack $\map(Y,\XX)$, where $Y$ is a compact space and $\XX$ a topological stack, which is functorial both in $\XX$ and $Y$ and behaves well enough with respect to pushouts. We also construct a bivariant (in the sense of Fulton and MacPherson) theory for topological stacks: it gives us a flexible theory of Gysin maps which are automatically compatible with pullback, pushforward and products. Further we prove an excess formula in this context. We introduce oriented stacks, generalizing oriented manifolds, which are stacks on which we can do string topology. We prove that the homology of the free loop stack of an oriented stack and the homology of hidden loops (sometimes called ghost loops) are a Frobenius algebra which are related by a natural morphism of Frobenius algebras. We also prove that the homology of free loop stack has a natural structure of a BValgebra, which together with the Frobenius structure fits into an homological conformal field theories with closed positive boundaries. Using our general machinery, we construct an intersection pairing for (non necessarily compact) almost complex orbifolds which is in the same relation to the intersection pairing for manifolds as ChenRuan orbifold cupproduct is to ordinary cupproduct of manifolds. We show that the hidden loop product of almost complex is isomorphic to the orbifold intersection pairing twisted by a canonical class. Finally we gave some examples including the case of the classifying stacks [*/G] of a compact Lie group
Enumerative invariants in algebraic geometry and string theory lectures given at the C.I.M.E. Summer School held in Cetraro,
Italy, June 611, 2005 by
D Abramovich(
)
2 editions published in 2008 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 2008 in English and held by 3 WorldCat member libraries worldwide
Moduli of noncommutative polarized schemes by
K Behrend(
)
1 edition published in 2017 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2017 in English and held by 2 WorldCat member libraries worldwide
Derived ladic categories for algebraic stacks by
K Behrend(
Book
)
2 editions published in 2003 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 2003 in English and held by 2 WorldCat member libraries worldwide
Olfaction under water and in air by the beetle Dytiscus marginalis L. = Riechen in Wasser und in Luft bei Dytiscus marginalis
L. by
K Behrend(
Book
)
1 edition published in 1981 in English and held by 1 WorldCat member library worldwide
1 edition published in 1981 in English and held by 1 WorldCat member library worldwide
Quantum cohomology lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 30 July 8, 1997(
)
2 editions published in 2002 in English and held by 1 WorldCat member library worldwide
2 editions published in 2002 in English and held by 1 WorldCat member library worldwide
Stacks of stable maps and GromovWitten invariants by
K Behrend(
Book
)
1 edition published in 1995 in English and held by 1 WorldCat member library worldwide
1 edition published in 1995 in English and held by 1 WorldCat member library worldwide
Stacks of stable maps and GromovWitten invariants by
K Behrend(
Book
)
1 edition published in 1995 in English and held by 1 WorldCat member library worldwide
1 edition published in 1995 in English and held by 1 WorldCat member library worldwide
Modulräume für Vektorbündel mit Niveaustrukturen auf algebraischen Kurven by
K Behrend(
Book
)
1 edition published in 1987 in Undetermined and held by 1 WorldCat member library worldwide
1 edition published in 1987 in Undetermined and held by 1 WorldCat member library worldwide
Vicky's grosse Chance by Wynn Kincade(
Book
)
1 edition published in 1968 in German and held by 0 WorldCat member libraries worldwide
1 edition published in 1968 in German and held by 0 WorldCat member libraries worldwide
Orchester Schmetterschlag und andere Geschichten by
Sergio Bitossi(
Book
)
1 edition published in 1968 in German and held by 0 WorldCat member libraries worldwide
1 edition published in 1968 in German and held by 0 WorldCat member libraries worldwide
Der glückliche Bauernhof by
Umberto Padroni(
Book
)
1 edition published in 1968 in German and held by 0 WorldCat member libraries worldwide
1 edition published in 1968 in German and held by 0 WorldCat member libraries worldwide
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