Shortcuts
Top of page (Alt+0)
Page content (Alt+9)
Page menu (Alt+8)
Your browser does not support javascript, some WebOpac functionallity will not be available.
.
Default
.
PageMenu
-
Main Menu
-
Simple Search
.
Advanced Search
.
Journal Search
.
Refine Search Results
.
Preferences
.
Search Menu
Simple Search
.
Advanced Search
.
New Items Search
.
Journal Search
.
Refine Search Results
.
Bottom Menu
Help
Italian
.
English
.
German
.
New Item Menu
New Items Search
.
New Items List
.
Links
SISSA Library
.
ICTP library
.
Italian National web catalog (SBN)
.
Trieste University web catalog
.
Udine University web catalog
.
© LIBERO v6.4.1sp220816
Page content
You are here
:
>
Login Verification
>
System Notification
Catalogue Display
Catalogue Display
Introductory lectures on equivariant cohomology (with appendices by Loring W. Tu and Alberto Arabia)
.
Bookmark this Record
Catalogue Record 50027
.
.
Author info on Wikipedia
.
.
LibraryThing
.
.
Google Books
.
.
Amazon Books
.
Browse Shelf
Catalogue Record 50027
.
Item Information
Catalogue Record 50027
.
Catalogue Information
Catalogue Record 50027
.
Reviews
Catalogue Record 50027
.
British Library
Resolver for RSN-50027
Catalogo Nazionale SBN
Resolver for RSN-50027
WorldCat
Resolver for RSN-50027
Google Scholar
Resolver for RSN-50027
GoogleBooks
Resolver for RSN-50027
ICTP Library
Resolver for RSN-50027
.
Share Link
Jump to link
Catalogue Information
Field name
Details
Dewey Class
514.23
Title
Introductory lectures on equivariant cohomology : (with appendices by Loring W. Tu and Alberto Arabia) (M) / Loring W. Tu
Author
Tu, Loring W.
Publication
Princeton : Princeton University Press , 2020
Physical Details
xx, 315 pages : ill ; 24 cm.
Series
Annals of mathematics studies
; 204
ISBN
9780691191751
Summary Note
"This book gives a clear introductory account of equivariant cohomology, a central topic in algebraic topology. Equivariant cohomology is concerned with the algebraic topology of spaces with a group action, or in other words, with symmetries of spaces. First defined in the 1950s, it has been introduced into K-theory and algebraic geometry, but it is in algebraic topology that the concepts are the most transparent and the proofs are the simplest. One of the most useful applications of equivariant cohomology is the equivariant localization theorem of Atiyah-Bott and Berline-Vergne, which converts the integral of an equivariant differential form into a finite sum over the fixed point set of the group action, providing a powerful tool for computing integrals over a manifold. Because integrals and symmetries are ubiquitous, equivariant cohomology has found applications in diverse areas of mathematics and physics. Assuming readers have taken one semester of manifold theory and a year of algebraic topology, Loring Tu begins with the topological construction of equivariant cohomology, then develops the theory for smooth manifolds with the aid of differential forms. To keep the exposition simple, the equivariant localization theorem is proven only for a circle action. An appendix gives a proof of the equivariant de Rham theorem, demonstrating that equivariant cohomology can be computed using equivariant differential forms. Examples and calculations illustrate new concepts. Exercises include hints or solutions, making this book suitable for self-study"-- Provided by publisher.:
Contents note
Homotopy groups and CW complexes -- Principal bundles -- Homotopy quotients and equivariant cohomology -- Universal bundles and classifying spaces -- Spectral sequences -- Equivariant cohomology of S² under rotation -- A universal bundle for a compact lie group -- General properties of equivariant cohomology -- The lie derivative and interior multiplication -- Fundamental vector fields -- Basic forms -- Integration on a compact connected lie group -- Vector-valued forms -- The Maurer-Cartan form -- Connections on a principal bundle -- Curvature on a principal bundle -- Differential graded algebras -- The Weil algebra and the weil model -- Circle actions -- The cartan model in general -- Outline of a proof of the equivariant de Rham theorem -- Localization in algebra -- Free and locally free actions -- The topology of a group action -- Borel localization for a circle action -- A crash course in representation theory -- Integration of equivariant forms -- Rationale for a localization formula -- Localization formulas -- Proof of the localization formula for a circle action -- Some applications.
Links to Related Works
Subject References:
Cohomology operations
.
Homology theory
.
Authors:
Tu, Loring W.
.
Series:
Annals of mathematics studies
.
Classification:
514.23
.
.
ISBD Display
Catalogue Record 50027
.
Tag Display
Catalogue Record 50027
.
Related Works
Catalogue Record 50027
.
Marc XML
Catalogue Record 50027
.
Add Title to Basket
Catalogue Record 50027
.
Catalogue Information 50027
Beginning of record
.
Catalogue Information 50027
Top of page
.
Item Information
Barcode
Shelf Location
Collection
Volume Ref.
Branch
Status
Due Date
0000000044437
515.14 TU
General
SISSA
.
.
On Loan
.
12 Jun 2024
Download Title
Catalogue Record 50027
Export
This Record
As
Labelled Format
Bibliographic Format
ISBD Format
MARC Format
MARC Binary Format
MARCXML Format
User-Defined Format:
Title
Author
Series
Publication Details
Subject
To
File
Email
.
Catalogue Record 50027 ItemInfo
Beginning of record
.
Catalogue Record 50027 ItemInfo
Top of page
.
Most Popular Titles
#
Author
Title
1
.
Jost, Jürgen 1956-
1
.
Nonpositive curvature: geometric and analytic aspects
1
2
.
Jost, Jürgen 1956-
2
.
Calculus of variations
2
3
.
Jost, Jürgen 1956-
3
.
Harmonic maps between surfaces: with a special chapter on conformal mappings
3
4
.
Geometric analysis and the calculus of variations for Stefan Hildebrandt
4
5
.
Jost, Jürgen 1956-
5
.
Compact Riemann surfaces: an introduction to contemporary mathematics
5
.
Reviews
This item has not been rated.
Add a Review and/or Rating
50027
1
50027
-
2
50027
-
3
50027
-
4
50027
-
5
50027
-
Quick Search
Search for