Groupoids in Analysis Geometry and Physics is popular PDF and ePub book, written by Arlan Ramsay in 2001, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Groupoids in Analysis Geometry and Physics can be Read Online from any device for your convenience.
Groupoids in Analysis Geometry and Physics Book PDF Summary
Groupoids often occur when there is symmetry of a nature not expressible in terms of groups. Other uses of groupoids can involve something of a dynamical nature. Indeed, some of the main examples come from group actions. It should also be noted that in many situations where groupoids have been used, the main emphasis has not been on symmetry or dynamics issues. While the implicit symmetry and dynamics are relevant, the groupoid records mostly the structure of the space of leaves and the holonomy. More generally, the use of groupoids is very much related to various notions of orbit equivalance. This book presents the proceedings from the Joint Summer Research Conference on ``Groupoids in Analysis, Geometry, and Physics'' held in Boulder, CO. The book begins with an introduction to ways in which groupoids allow a more comprehensive view of symmetry than is seen via groups. Topics range from foliations, pseudo-differential operators, $KK$-theory, amenability, Fell bundles, and index theory to quantization of Poisson manifolds. Readers will find examples of important tools for working with groupoids. This book is geared to students and researchers. It is intended to improve their understanding of groupoids and to encourage them to look further while learning about the tools used.
Detail Book of Groupoids in Analysis Geometry and Physics PDF
- Author : Arlan Ramsay
- Release : 30 September 2024
- Publisher : American Mathematical Soc.
- ISBN : 9780821820421
- Genre : Mathematics
- Total Page : 208 pages
- Language : English
- PDF File Size : 19,7 Mb
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