Author: Dennis Parnell SullivanPublisher:
ISBN:
Category : Geometry
Languages : en
Pages : 228
Book Description
Geometric Topology: Localization, periodicity, and galois symmetry
Author: Dennis Parnell SullivanPublisher:
ISBN:
Category : Geometry
Languages : en
Pages : 228
Book Description
Geometric Topology: Localization, Periodicity and Galois Symmetry
Author: Dennis P. SullivanPublisher: Springer
ISBN: 9781402035111
Category : Mathematics
Languages : en
Pages : 286
Book Description
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.
Geometric Topology: Localization, periodicity, and galois symmetry
Author: Dennis Parnell SullivanPublisher:
ISBN:
Category : Geometry
Languages : en
Pages : 476
Book Description
Localization, Periodicity, and Galois Symmetry
Author: Dennis SullivanHandbook of Geometric Topology
Author: R.B. SherPublisher: Elsevier
ISBN: 0080532853
Category : Mathematics
Languages : en
Pages : 1145
Book Description
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.
Manifolds - Amsterdam 1970
Author: N. H. KuiperPublisher: Springer
ISBN: 3540366539
Category : Mathematics
Languages : en
Pages : 240
Book Description
Rational Homotopy Theory
Author: Yves FelixPublisher: Springer Science & Business Media
ISBN: 0387950680
Category : Mathematics
Languages : en
Pages : 589
Book Description
This is a long awaited book on rational homotopy theory which contains all the main theorems with complete proofs, and more elementary proofs for many results that were proved ten or fifteen years ago. The authors added a frist section on classical algebraic topology to make the book accessible to students with only little background in algebraic topology.
Algebraic and Geometrical Methods in Topology
Author: L.F. McAuleyPublisher: Springer
ISBN: 3540373004
Category : Mathematics
Languages : en
Pages : 294
Book Description
Homotopy Theory of Function Spaces and Related Topics
Author: Yves FélixPublisher: American Mathematical Soc.
ISBN: 0821849298
Category : Mathematics
Languages : en
Pages : 246
Book Description
This volume contains the proceedings of the Workshop on Homotopy Theory of Function Spaces and Related Topics, which was held at the Mathematisches Forschungsinstitut Oberwolfach, in Germany, from April 5-11, 2009. This volume contains fourteen original research articles covering a broad range of topics that include: localization and rational homotopy theory, evaluation subgroups, free loop spaces, Whitehead products, spaces of algebraic maps, gauge groups, loop groups, operads, and string topology. In addition to reporting on various topics in the area, this volume is supposed to facilitate the exchange of ideas within Homotopy Theory of Function Spaces, and promote cross-fertilization between Homotopy Theory of Function Spaces and other areas. With these latter aims in mind, this volume includes a survey article which, with its extensive bibliography, should help bring researchers and graduate students up to speed on activity in this field as well as a problems list, which is an expanded and edited version of problems discussed in sessions held at the conference. The problems list is intended to suggest directions for future work.
C*-algebras and Elliptic Theory
Author: Bogdan BojarskiPublisher: Springer Science & Business Media
ISBN: 3764376872
Category : Mathematics
Languages : en
Pages : 332
Book Description
This book consists of reviewed original research papers and expository articles in index theory (especially on singular manifolds), topology of manifolds, operator and equivariant K-theory, Hopf cyclic cohomology, geometry of foliations, residue theory, Fredholm pairs and others, and applications in mathematical physics. The wide spectrum of subjects reflects the diverse directions of research for which the starting point was the Atiyah-Singer index theorem.