WorldCat Identities

Morgan, John 1946 March 21-

Overview
Works: 86 works in 267 publications in 5 languages and 5,928 library holdings
Genres: Science fiction films  Parody films  Drama  Film sequels  Conference papers and proceedings 
Roles: Author, Editor, Other, Singer
Publication Timeline
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Most widely held works by John Morgan
The Seiberg-Witten equations and applications to the topology of smooth four-manifolds by John W Morgan( )

25 editions published between 1995 and 2014 in English and Japanese and held by 1,561 WorldCat member libraries worldwide

"The recent introduction of the Seiberg-Witten invariants of smooth four-manifolds has revolutionized the study of those manifolds. The invariants are gauge-theoretic in nature and are close cousins of the much-studied SU(2)-invariants defined over fifteen years ago by Donaldson. On a practical level, the new invariants have proved to be more powerful and have led to a vast generalization of earlier results. This book is an introduction to the Seiberg-Witten invariants. The work begins with a review of the classical material on Spin c structures and their associated Dirac operators. Next comes a discussion of the Seiberg-Witten equations, which is set in the context of nonlinear elliptic operators on an appropriate infinite dimensional space of configurations. It is demonstrated that the space of solutions to these equations, called the Seiberg-Witten moduli space, is finite dimensional, and its dimension is then computed. In contrast to the SU(2)-case, the Seiberg-Witten moduli spaces are shown to be compact. The Seiberg-Witten invariant is then essentially the homology class in the space of configurations represented by the Seiberg-Witten moduli space. The last chapter gives a flavor for the applications of these new invariants by computing the invariants for most Kahler surfaces and then deriving some basic toological consequences for these surfaces."--Publisher's description
Rational homotopy theory and differential forms by Phillip Griffiths( )

25 editions published between 1981 and 2013 in English and held by 862 WorldCat member libraries worldwide

Rational homotopy theory is today one of the major trends in algebraic topology. Despite the great progress made in only a few years, a textbook properly devoted to this subject still was lacking until now The appearance of the text in book form is highly welcome, since it will satisfy the need of many interested people. Moreover, it contains an approach and point of view that do not appear explicitly in the current literature. Zentralblatt MATH (Review of First Edition) The monograph is intended as an introduction to the theory of minimal models. Anyone who wishes to learn about the theory will find this book a very helpful and enlightening one. There are plenty of examples, illustrations, diagrams and exercises. The material is developed with patience and clarity. Efforts are made to avoid generalities and technicalities that may distract the reader or obscure the main theme. The theory and its power are elegantly presented. This is an excellent monograph. Bulletin of the American Mathematical Society (Review of First Edition) This completely revised and corrected version of the well-known Florence notes circulated by the authors together with E. Friedlander examines basic topology, emphasizing homotopy theory. Included is a discussion of Postnikov towers and rational homotopy theory. This is then followed by an in-depth look at differential forms and de Thams theorem on simplical complexes. In addition, Sullivans results on computing the rational homotopy type from forms is presented. -- [Source inconnue]
Differential topology of complex surfaces : elliptic surfaces with pg̳=1: smooth classification by John W Morgan( Book )

27 editions published between 1993 and 2006 in English and German and held by 538 WorldCat member libraries worldwide

Annotation
The Smith conjecture( Book )

11 editions published between 1983 and 1984 in English and held by 521 WorldCat member libraries worldwide

"In the 1940s, Paul A. Smith asked whether or not the fixed point set of a periodic, orientation preserving homeomorphism of S³ to itself was always an unknotted circle. In the fall of 1978 this question was answered in the affirmative for diffeomorphisms. The proof rests on the work of mathematicians in diverse areas of mathematics. In the spring of 1979 a symposium was held at Columbia University on the solution to Smith's question. It brought together the principal actors in the drama to present various pieces of the proof. In addition to written versions of the presentations, this volume includes an introduction which explains how the pieces fit together." -- preface
Smooth four-manifolds and complex surfaces by Robert Friedman( Book )

13 editions published between 1993 and 2011 in English and held by 376 WorldCat member libraries worldwide

Almost commuting elements in compact Lie groups by Armand Borel( Book )

10 editions published in 2002 in English and held by 279 WorldCat member libraries worldwide

Introduction Almost commuting $N$-tuples Some characterizations of groups of type $A$ $c$-pairs Commuting triples Some results on diagram automorphisms and associated root systems The fixed subgroup of an automorphism $C$-triples The tori $\overline{S}(k)$ and $\overline{S}^{w_c}(\overline{\bf g}, k)$ and their Weyl groups The Chern-Simons invariant The case when $\langle C\rangle$ is not cyclic Bibliography Diagrams and tables
Ricci flow and the Poincaré conjecture by John Morgan( Book )

1 edition published in 2007 in English and held by 278 WorldCat member libraries worldwide

"This book provides full details of a complete proof of the Poincare Conjecture following Perelman's three preprints. After a lengthy introduction that outlines the entire argument, the book is divided into four parts. The first part reviews necessary results from Riemannian geometry and Ricci flow, including much of Hamilton's work. The second part starts with Perelman's length function, which is used to establish crucial non-collapsing theorems. Then it discusses the classification of non-collapsed, ancient solutions to the Ricci flow equation. The third part concerns the existence of Ricci flow with surgery for all positive time and an analysis of the topological and geometric changes introduced by surgery. The last part follows Perelman's third preprint to prove that when the initial Riemannian 3-manifold has finite fundamental group, Ricci flow with surgery becomes extinct after finite time. The proofs of the Poincare Conjecture and the closely related 3-dimensional spherical space-form conjecture are then immediate." "With the large amount of background material that is presented and the detailed versions of the central arguments, this book is suitable for all mathematicians from advanced graduate students to specialists in geometry and topology."--Jacket
A product formula for surgery obstructions by John W Morgan( Book )

14 editions published between 1975 and 1978 in English and Italian and held by 257 WorldCat member libraries worldwide

Given a degree one normal map and a closed manifold one can form their product. The result is another degree one normal map. In this paper we calculate the surgery obstruction of the product in terms of the obstruction of the original normal map and invariants of the closed manifold provided that the latter is simply connected. The result depends on the congruence class module 4 of the dimension of the closed manifold
Gauge theory and the topology of four-manifolds( Book )

1 edition published in 1998 in English and held by 197 WorldCat member libraries worldwide

Ricci flow and geometrization of 3-manifolds by John Morgan( Book )

4 editions published in 2010 in English and held by 171 WorldCat member libraries worldwide

The geometrization conjecture by John Morgan( Book )

1 edition published in 2014 in English and held by 145 WorldCat member libraries worldwide

This book gives a complete proof of the geometrization conjecture, which describes all compact 3-manifolds in terms of geometric pieces, i.e., 3-manifolds with locally homogeneous metrics of finite volume. The method is to understand the limits as time goes to infinity of Ricci flow with surgery. The first half of the book is devoted to showing that these limits divide naturally along incompressible tori into pieces on which the metric is converging smoothly to hyperbolic metrics and pieces that are locally more and more volume collapsed. The second half of the book is devoted to showing that the latter pieces are themselves geometric. This is established by showing that the Gromov-Hausdorff limits of sequences of more and more locally volume collapsed 3-manifolds are Alexandrov spaces of dimension at most 2 and then classifying these Alexandrov spaces. In the course of proving the geometrization conjecture, the authors provide an overview of the main results about Ricci flows with surgery on 3-dimensional manifolds, introducing the reader to this difficult material. The book also includes an elementary introduction to Gromov-Hausdorff limits and to the basics of the theory of Alexandrov spaces. In addition, a complete picture of the local structure of Alexandrov surfaces is developed. All of these important topics are of independent interest --Provided by publisher
Nouveaux invariants en géométrie et en topologie by Michèle Audin( Book )

11 editions published between 2001 and 2002 in French and English and held by 144 WorldCat member libraries worldwide

The L²-moduli space and a vanishing theorem for Donaldson polynomial invariants by John W Morgan( Book )

9 editions published in 1994 in English and held by 118 WorldCat member libraries worldwide

Ricci flow and the Poincaré conjecture by John W Morgan( Book )

10 editions published in 2007 in English and held by 70 WorldCat member libraries worldwide

Gauge theory and the topology of four-manifolds by Robert Friedman( Book )

11 editions published between 1997 and 1998 in English and held by 63 WorldCat member libraries worldwide

The lectures in this volume provide a perspective on how 4-manifold theory was studied before the discovery of modern-day Seiberg-Witten theory. One reason the progress using the Seiberg-Witten invariants was so spectacular was that those studying SU(2)-gauge theory had more than ten years' experience with the subject. The tools had been honed, the correct questions formulated, and the basic strategies well understood. The knowledge immediately bore fruit in the technically simpler environment of the Seiberg-Witten theory. Gauge theory long predates Donaldson's applications of the subject to 4
Smooth Four-Manifolds and Complex Surfaces by Robert Friedman( )

2 editions published in 1994 in English and held by 60 WorldCat member libraries worldwide

This book applies the recent techniques of gauge theory to study the smooth classification of compact complex surfaces. The study is divided into four main areas: Classical complex surface theory, gauge theory and Donaldson invariants, deformations of holomorphic vector bundles, and explicit calculations for elliptic sur§ faces. The book represents a marriage of the techniques of algebraic geometry and 4-manifold topology and gives a detailed exposition of some of the main themes in this very active area of current research
The lost skeleton returns again( Visual )

1 edition published in 2010 in English and held by 40 WorldCat member libraries worldwide

"Jerranium 90. A "little rock" that made all the papers. Only what didn't make the papers is that the main source of this newly discovered element is buried deep within the Amazon. And everybody wants it. So when Reet Pappin is sent on a mission, vital to national security, to find Dr. Paul Armstrong - now a bitter alcoholic disenchanted with science - he may have his work cut out for him. Especially when joined by Armstrong's loyal wife Betty and the mind control-susceptible twin brother of Dr. Roger Fleming, who's carrying a familiar sinister skull belonging to none other than the Lost skeleton of Cadavra himself! As the parties converge in the dreaded Valley of the Monsters, other familiar faces begin to pop up, as well as a variety of monsters and an ancient race known as the Cantaloupe people, led by their haughty queen, Chinfa. Who will get what they want? And who won't? Larry Blamire brings his own hysterical brand of adventure to life in this sequel to the mega cult hit "The lost skeleton of Cadavra!" "The lost skeleton returns again" is a perfect tongue-in-cheek celebration of the adventure/horror serials of yesteryear presented in the majesty of Super Skeletorama!"--Container, back cover
The Smith conjecture by John W Morga( Book )

3 editions published between 1984 and 2014 in English and held by 26 WorldCat member libraries worldwide

California impressions : an Englishman's travels and impressions in California in 1886 by J. W Morgan( Book )

2 editions published in 1990 in English and held by 26 WorldCat member libraries worldwide

In an Indian garden, and other verses by J. W Morgan( )

3 editions published between 1911 and 2010 in English and held by 20 WorldCat member libraries worldwide

 
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Smooth four-manifolds and complex surfaces
Covers
Differential topology of complex surfaces : elliptic surfaces with pg̳=1: smooth classificationThe Smith conjectureSmooth four-manifolds and complex surfacesAlmost commuting elements in compact Lie groupsRicci flow and the Poincaré conjectureGauge theory and the topology of four-manifoldsRicci flow and geometrization of 3-manifoldsRicci flow and the Poincaré conjecture
Alternative Names
John Morgan Amerikaans wiskundige

John Morgan amerikansk matematikar

John Morgan amerikansk matematiker

John Morgan matematico statunitense

John Morgan mathématicien américain

John Morgan US-amerikanischer Mathematiker

John Willard Morgan

Morgan 1946-

Morgan, J. W.

Morgan, John 1946-

Morgan, John W.

Morgan, John W. 1946-...

Morgan, John W. (John Willard), 1946-

Morgan John Willard

Morgan (John Willard) 1946-

Morgan, John Willard, 1946 March 21-

Willard Morgan, John 1946-

Джон Морган

Морган, Д. В 1946-

Морган, Д. В. (Джон В.), 1946-

Морган Джон В.

جان مورگان ریاضی‌دان آمریکایی

جون مورغان

모건, 존

モーガン, J. W

Languages
English (171)

French (10)

Japanese (2)

German (1)

Italian (1)