Index to the Journal of Differential Geometry, 1967-2007 PDF Download

Author:
Publisher:
ISBN:
Category : Current developments in mathematics
Languages : en
Pages : 254

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Author: Simon Donaldson
Publisher:
ISBN: 9781571463395
Category :
Languages : en
Pages : 694

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These papers have been organized into five volumes by subject matter. The first volume deals with topology, the second with algebraic geometry, the third with geometric ideas, the fourth with geometric analysis, and the fifth with geometric flows. These five volumes provide a condensed version of the Journal of Differential Geometry, helping readers to understand the development of the field of geometry over the past fifty years.

Author: Simon Donaldson
Publisher:
ISBN: 9781571463340
Category :
Languages : en
Pages : 630

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This collection of thirteen papers takes the reader on a journey through many important mathematical developments over the past half century. Among the authors and topics are: J. Milnor on curvature and fundamental group; M. F. Atiyah on equivariant K-theory; Gheorghe Lusztig on Novikov's higher signature and families of elliptic operators; Edward Witten on super-symmetry and Morse theory; Kefeng Liu on modular invariance and rigidity theorems; and M. J. Hopkins and I. M. Singer on quadratic functions in geometry, topology, and M-theory. With a foreword by Shing-Tung Yau, and a preface by Simon Donaldson.

Author: Shing-Tung Yau
Publisher:
ISBN: 9781571463616
Category : Geometry, Differential
Languages : en
Pages : 406

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Author: Carolyn Farquhar Ulrich
Publisher:
ISBN:
Category : Periodicals
Languages : en
Pages : 1114

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Author:
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ISBN:
Category : Business
Languages : en
Pages : 1666

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Author: Guillermo Cortiñas
Publisher: American Mathematical Soc.
ISBN: 0821868640
Category : Mathematics
Languages : en
Pages : 289

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Luis Santalo Winter Schools are organized yearly by the Mathematics Department and the Santalo Mathematical Research Institute of the School of Exact and Natural Sciences of the University of Buenos Aires (FCEN). This volume contains the proceedings of the third Luis Santalo Winter School which was devoted to noncommutative geometry and held at FCEN July 26-August 6, 2010. Topics in this volume concern noncommutative geometry in a broad sense, encompassing various mathematical and physical theories that incorporate geometric ideas to the study of noncommutative phenomena. It explores connections with several areas including algebra, analysis, geometry, topology and mathematical physics. Bursztyn and Waldmann discuss the classification of star products of Poisson structures up to Morita equivalence. Tsygan explains the connections between Kontsevich's formality theorem, noncommutative calculus, operads and index theory. Hoefel presents a concrete elementary construction in operad theory. Meyer introduces the subject of $\mathrm{C}^*$-algebraic crossed products. Rosenberg introduces Kasparov's $KK$-theory and noncommutative tori and includes a discussion of the Baum-Connes conjecture for $K$-theory of crossed products, among other topics. Lafont, Ortiz, and Sanchez-Garcia carry out a concrete computation in connection with the Baum-Connes conjecture. Zuk presents some remarkable groups produced by finite automata. Mesland discusses spectral triples and the Kasparov product in $KK$-theory. Trinchero explores the connections between Connes' noncommutative geometry and quantum field theory. Karoubi demonstrates a construction of twisted $K$-theory by means of twisted bundles. Tabuada surveys the theory of noncommutative motives.

Author: Anders Kock
Publisher: Cambridge University Press
ISBN: 0521116732
Category : Mathematics
Languages : en
Pages : 317

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This elegant book is sure to become the standard introduction to synthetic differential geometry. It deals with some classical spaces in differential geometry, namely 'prolongation spaces' or neighborhoods of the diagonal. These spaces enable a natural description of some of the basic constructions in local differential geometry and, in fact, form an inviting gateway to differential geometry, and also to some differential-geometric notions that exist in algebraic geometry. The presentation conveys the real strength of this approach to differential geometry. Concepts are clarified, proofs are streamlined, and the focus on infinitesimal spaces motivates the discussion well. Some of the specific differential-geometric theories dealt with are connection theory (notably affine connections), geometric distributions, differential forms, jet bundles, differentiable groupoids, differential operators, Riemannian metrics, and harmonic maps. Ideal for graduate students and researchers wishing to familiarize themselves with the field.

Author:
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 224

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Author: Joseph Albert Wolf
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 438

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