Author : E. Rees
Publisher : Cambridge University Press
Page : 257 pages
File Size : 42,78 MB
Release : 1987-10-29
Category : Mathematics
ISBN : 0521339464
This 1987 volume presents a collection of papers given at the 1985 Durham Symposium on homotopy theory. They survey recent developments in the subject including localisation and periodicity, computational complexity, and the algebraic K-theory of spaces.
Author : Mila Cenkl
Publisher : American Mathematical Soc.
Page : 442 pages
File Size : 43,37 MB
Release : 1995
Category : Mathematics
ISBN : 0821802968
The June 1993 conference was organized to commemorate the 100th anniversary of the birth of Czech mathematician Edward Cech. The main topics of the conference were the most recent results in the stable and unstable homotopy theory. Among the topics in 22 refereed papers: on finiteness of subgroups of self-homotopy equivalences; the Chen groups of the pure braid group; Morava's change of rings theorem; the Boardman homomorphism; and a comparison criterion for certain loop spaces. No index. Annotation copyright by Book News, Inc., Portland, OR
Author : Peter S. Landweber
Publisher : Springer
Page : 232 pages
File Size : 42,75 MB
Release : 2006-11-15
Category : Mathematics
ISBN : 3540393005
A small conference was held in September 1986 to discuss new applications of elliptic functions and modular forms in algebraic topology, which had led to the introduction of elliptic genera and elliptic cohomology. The resulting papers range, fom these topics through to quantum field theory, with considerable attention to formal groups, homology and cohomology theories, and circle actions on spin manifolds. Ed. Witten's rich article on the index of the Dirac operator in loop space presents a mathematical treatment of his interpretation of elliptic genera in terms of quantum field theory. A short introductory article gives an account of the growth of this area prior to the conference.
Author : C. Allday
Publisher : Cambridge University Press
Page : 486 pages
File Size : 11,22 MB
Release : 1993-07
Category : Mathematics
ISBN : 0521350220
This is an account of the theory of certain types of compact transformation groups, namely those that are susceptible to study using ordinary cohomology theory and rational homotopy theory, which in practice means the torus groups and elementary abelian p-groups. The efforts of many mathematicians have combined to bring a depth of understanding to this area. However to make it reasonably accessible to a wide audience, the authors have streamlined the presentation, referring the reader to the literature for purely technical results and working in a simplified setting where possible. In this way the reader with a relatively modest background in algebraic topology and homology theory can penetrate rather deeply into the subject, whilst the book at the same time makes a useful reference for the more specialised reader.
Author : Laurentiu Paunescu
Publisher : World Scientific
Page : 475 pages
File Size : 15,59 MB
Release : 2007-01-30
Category : Mathematics
ISBN : 981447598X
The modern theory of singularities provides a unifying theme that runs through fields of mathematics as diverse as homological algebra and Hamiltonian systems. It is also an important point of reference in the development of a large part of contemporary algebra, geometry and analysis. Presented by internationally recognized experts, the collection of articles in this volume yields a significant cross-section of these developments.The wide range of surveys includes an authoritative treatment of the deformation theory of isolated complex singularities by prize-winning researcher K Miyajima. Graduate students and even ambitious undergraduates in mathematics will find many research ideas in this volume and non-experts in mathematics can have an overview of some classic and fundamental results in singularity theory. The explanations are detailed enough to capture the interest of the curious reader, and complete enough to provide the necessary background material needed to go further into the subject and explore the research literature.
Author : William G. Dwyer
Publisher : American Mathematical Soc.
Page : 328 pages
File Size : 44,17 MB
Release : 1998-01-01
Category : Mathematics
ISBN : 9780821871263
This volume presents the proceedings of workshops on stable homotopy theory and on unstable homotopy theory held at The Fields Institute as part of the homotopy program during the year 1996. The papers in the volume describe current research in the subject, and all included works were refereed. Rather than being a summary of work to be published elsewhere, each paper is the unique source for the new material it contains. The book contains current research from international experts in the subject area, and presents open problems with directions for future research.
Author : Mamoru Mimura
Publisher : Springer
Page : 246 pages
File Size : 25,46 MB
Release : 2006-11-14
Category : Mathematics
ISBN : 3540469389
Author : E. Rees
Publisher :
Page : 256 pages
File Size : 34,37 MB
Release : 1987
Category :
ISBN : 9781107094079
Author : Gunnar E. Carlsson
Publisher : Springer Science & Business Media
Page : 271 pages
File Size : 24,25 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1461395267
In 1989-90 the Mathematical Sciences Research Institute conducted a program on Algebraic Topology and its Applications. The main areas of concentration were homotopy theory, K-theory, and applications to geometric topology, gauge theory, and moduli spaces. Workshops were conducted in these three areas. This volume consists of invited, expository articles on the topics studied during this program. They describe recent advances and point to possible new directions. They should prove to be useful references for researchers in Algebraic Topology and related fields, as well as to graduate students.
Author : Boris I. Botvinnik
Publisher : Cambridge University Press
Page : 201 pages
File Size : 48,36 MB
Release : 1992-07-23
Category : Mathematics
ISBN : 0521426081
This book will be of great interest to researchers into algebraic topology.
