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Author : Dennis Parnell Sullivan
Publisher :
ISBN 13 :
Total Pages : 476 pages
Book Rating : 4.92/5 ( download)
Download or read book Geometric Topology: Localization, periodicity, and galois symmetry written by Dennis Parnell Sullivan and published by . This book was released on 1971 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Dennis P. Sullivan
Publisher : Springer
ISBN 13 : 9789048103508
Total Pages : 286 pages
Book Rating : 4.09/5 ( download)
Download or read book Geometric Topology: Localization, Periodicity and Galois Symmetry written by Dennis P. Sullivan and published by Springer. This book was released on 2009-09-03 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: The seminal ‘MIT notes’ of Dennis Sullivan were issued in June 1970 and were widely circulated at the time. The notes had a - jor in?uence on the development of both algebraic and geometric topology, pioneering the localization and completion of spaces in homotopy theory, including p-local, pro?nite and rational homotopy theory, le- ing to the solution of the Adams conjecture on the relationship between vector bundles and spherical ?brations, the formulation of the ‘Sullivan conjecture’ on the contractibility of the space of maps from the classifying space of a ?nite group to a ?nite dimensional CW complex, theactionoftheGalois groupoverQofthealgebraicclosureQof Q on smooth manifold structures in pro?nite homotopy theory, the K-theory orientation ofPL manifolds and bundles. Some of this material has been already published by Sullivan him- 1 self: in an article in the Proceedings of the 1970 Nice ICM, and in the 1974 Annals of Mathematics papers Genetics of homotopy theory and the Adams conjecture and The transversality character- 2 istic class and linking cycles in surgery theory . Many of the ideas originating in the notes have been the starting point of subsequent 1 reprinted at the end of this volume 2 joint with John Morgan vii viii 3 developments . However, the text itself retains a unique ?avour of its time, and of the range of Sullivan’s ideas.
Author : R.B. Sher
Publisher : Elsevier
ISBN 13 : 0080532853
Total Pages : 1145 pages
Book Rating : 4.51/5 ( download)
Download or read book Handbook of Geometric Topology written by R.B. Sher and published by Elsevier. This book was released on 2001-12-20 with total page 1145 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometric Topology is a foundational component of modern mathematics, involving the study of spacial properties and invariants of familiar objects such as manifolds and complexes. This volume, which is intended both as an introduction to the subject and as a wide ranging resouce for those already grounded in it, consists of 21 expository surveys written by leading experts and covering active areas of current research. They provide the reader with an up-to-date overview of this flourishing branch of mathematics.
Author : R. James Milgram
Publisher : American Mathematical Soc.
ISBN 13 : 0821814338
Total Pages : 330 pages
Book Rating : 4.38/5 ( download)
Download or read book Algebraic and Geometric Topology, Part 2 written by R. James Milgram and published by American Mathematical Soc.. This book was released on 1978 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains sections on Structure of topological manifolds, Low dimensional manifolds, Geometry of differential manifolds and algebraic varieties, $H$-spaces, loop spaces and $CW$ complexes, Problems.
Author : D. A. Edwards
Publisher : Springer
ISBN 13 : 3540381031
Total Pages : 303 pages
Book Rating : 4.37/5 ( download)
Download or read book Cech and Steenrod Homotopy Theories with Applications to Geometric Topology written by D. A. Edwards and published by Springer. This book was released on 2006-11-14 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : L.F. McAuley
Publisher : Springer
ISBN 13 : 3540373004
Total Pages : 294 pages
Book Rating : 4.01/5 ( download)
Download or read book Algebraic and Geometrical Methods in Topology written by L.F. McAuley and published by Springer. This book was released on 2006-11-15 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mikhail Lyubich
Publisher : American Mathematical Soc.
ISBN 13 : 0821836668
Total Pages : 443 pages
Book Rating : 4.68/5 ( download)
Download or read book Graphs and Patterns in Mathematics and Theoretical Physics written by Mikhail Lyubich and published by American Mathematical Soc.. This book was released on 2005 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Stony Brook Conference, "Graphs and Patterns in Mathematics and Theoretical Physics", was dedicated to Dennis Sullivan in honor of his sixtieth birthday. The event's scientific content, which was suggested by Sullivan, was largely based on mini-courses and survey lectures. The main idea was to help researchers and graduate students in mathematics and theoretical physics who encounter graphs in their research to overcome conceptual barriers. The collection begins with Sullivan's paper, "Sigma models and string topology," which describes a background algebraic structure for the sigma model based on algebraic topology and transversality. Other contributions to the volume were organized into five sections: Feynman Diagrams, Algebraic Structures, Manifolds: Invariants and Mirror Symmetry, Combinatorial Aspects of Dynamics, and Physics. These sections, along with more research-oriented articles, contain the following surveys: "Feynman diagrams for pedestrians and mathematicians" by M. Polyak, "Notes on universal algebra" by A. Voronov, "Unimodal maps and hierarchical models" by M. Yampolsky, and "Quantum geometry in action: big bang and black holes" by A. Ashtekar. This comprehensive volume is suitable for graduate students and research mathematicians interested in graph theory and its applications in mathematics and physics.
Author : Xianzhe Dai
Publisher : Springer Science & Business Media
ISBN 13 : 3034802579
Total Pages : 364 pages
Book Rating : 4.74/5 ( download)
Download or read book Metric and Differential Geometry written by Xianzhe Dai and published by Springer Science & Business Media. This book was released on 2012-06-01 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: Metric and Differential Geometry grew out of a similarly named conference held at Chern Institute of Mathematics, Tianjin and Capital Normal University, Beijing. The various contributions to this volume cover a broad range of topics in metric and differential geometry, including metric spaces, Ricci flow, Einstein manifolds, Kähler geometry, index theory, hypoelliptic Laplacian and analytic torsion. It offers the most recent advances as well as surveys the new developments. Contributors: M.T. Anderson J.-M. Bismut X. Chen X. Dai R. Harvey P. Koskela B. Lawson X. Ma R. Melrose W. Müller A. Naor J. Simons C. Sormani D. Sullivan S. Sun G. Tian K. Wildrick W. Zhang
Author : J. L. Dupont
Publisher : Springer
ISBN 13 : 3540385207
Total Pages : 705 pages
Book Rating : 4.02/5 ( download)
Download or read book Algebraic Topology, Aarhus 1978 written by J. L. Dupont and published by Springer. This book was released on 2006-11-15 with total page 705 pages. Available in PDF, EPUB and Kindle. Book excerpt: University of Aarhus, 50. Anniversary, 11 September 1978
Author : Greg Friedman
Publisher : Cambridge University Press
ISBN 13 : 1107150744
Total Pages : 823 pages
Book Rating : 4.44/5 ( download)
Download or read book Singular Intersection Homology written by Greg Friedman and published by Cambridge University Press. This book was released on 2020-09-24 with total page 823 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first expository book-length introduction to intersection homology from the viewpoint of singular and piecewise linear chains.
