The Resource Introductory Lectures on Equivariant Cohomology : (AMS204), Loring W. Tu, (electronic resource)
Introductory Lectures on Equivariant Cohomology : (AMS204), Loring W. Tu, (electronic resource)
Resource Information
The item Introductory Lectures on Equivariant Cohomology : (AMS204), Loring W. Tu, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Bowdoin College Library.This item is available to borrow from 1 library branch.
Resource Information
The item Introductory Lectures on Equivariant Cohomology : (AMS204), Loring W. Tu, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Bowdoin College Library.
This item is available to borrow from 1 library branch.
 Summary
 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 Ktheory 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 AtiyahBott and BerlineVergne, 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 selfstudy
 Language

 eng
 eng
 Extent
 1 online resource (200 p.)
 Contents

 Part IV. Borel Localization
 Part V. The Equivariant Localization Formula
 Appendices
 Hints and Solutions to Selected EndofSection Problems
 List of Notations
 Bibliography
 Index
 Frontmatter
 Contents
 List of Figures
 Preface
 Acknowledgments
 Part I. Equivariant Cohomology in the Continuous Category
 Part II. Differential Geometry of a Principal Bundle
 Part III. The Cartan Model
 Isbn
 9780691197487
 Label
 Introductory Lectures on Equivariant Cohomology : (AMS204)
 Title
 Introductory Lectures on Equivariant Cohomology
 Title remainder
 (AMS204)
 Statement of responsibility
 Loring W. Tu
 Language

 eng
 eng
 Summary
 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 Ktheory 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 AtiyahBott and BerlineVergne, 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 selfstudy
 Cataloging source
 DEB1597
 http://library.link/vocab/creatorName
 Tu, Loring W
 Government publication
 other
 Language note
 In English
 Nature of contents
 dictionaries
 Series statement
 Annals of Mathematics Studies
 Series volume
 204
 http://library.link/vocab/subjectName

 Cohomology operations
 Homology theory
 Target audience
 specialized
 Label
 Introductory Lectures on Equivariant Cohomology : (AMS204), Loring W. Tu, (electronic resource)
 Contents

 Part IV. Borel Localization
 Part V. The Equivariant Localization Formula
 Appendices
 Hints and Solutions to Selected EndofSection Problems
 List of Notations
 Bibliography
 Index
 Frontmatter
 Contents
 List of Figures
 Preface
 Acknowledgments
 Part I. Equivariant Cohomology in the Continuous Category
 Part II. Differential Geometry of a Principal Bundle
 Part III. The Cartan Model
 Control code
 ssj0002346969
 Dimensions
 unknown
 Extent
 1 online resource (200 p.)
 Form of item
 online
 Governing access note
 Access restricted to subscribing institutions
 Isbn
 9780691197487
 Lccn
 2019048303
 Other control number
 10.1515/9780691197487
 Other physical details
 37 b/w illus
 Specific material designation
 remote
 System control number
 (WaSeSS)ssj0002346969
 System details
 Mode of access: Internet via World Wide Web
 Label
 Introductory Lectures on Equivariant Cohomology : (AMS204), Loring W. Tu, (electronic resource)
 Contents

 Part IV. Borel Localization
 Part V. The Equivariant Localization Formula
 Appendices
 Hints and Solutions to Selected EndofSection Problems
 List of Notations
 Bibliography
 Index
 Frontmatter
 Contents
 List of Figures
 Preface
 Acknowledgments
 Part I. Equivariant Cohomology in the Continuous Category
 Part II. Differential Geometry of a Principal Bundle
 Part III. The Cartan Model
 Control code
 ssj0002346969
 Dimensions
 unknown
 Extent
 1 online resource (200 p.)
 Form of item
 online
 Governing access note
 Access restricted to subscribing institutions
 Isbn
 9780691197487
 Lccn
 2019048303
 Other control number
 10.1515/9780691197487
 Other physical details
 37 b/w illus
 Specific material designation
 remote
 System control number
 (WaSeSS)ssj0002346969
 System details
 Mode of access: Internet via World Wide Web
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.bowdoin.edu/portal/IntroductoryLecturesonEquivariantCohomology/AQl7crokZA8/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bowdoin.edu/portal/IntroductoryLecturesonEquivariantCohomology/AQl7crokZA8/">Introductory Lectures on Equivariant Cohomology : (AMS204), Loring W. Tu, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.bowdoin.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="https://link.bowdoin.edu/">Bowdoin College Library</a></span></span></span></span></div>