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Moment maps, Cobordisms, and Hamiltonian Group Actions

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V. L. Ginzburg, V. Guillemin, and Y. Karshon.

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Published by the American Mathematical Society

** Postscript version: **

Title; Table of contents

Chapter 1: Introduction

Part 1: Cobordism

Chapter 2: Hamiltonian cobordism

Chapter 3: Abstract moment maps

Chapter 4: The linearization theorem

Chapter 5: Reduction and applications

Part 2: Quantization

Chapter 6: Geometric quantization

Chapter 7: The quantum version of the
linearization theorem

Chapter 8: Quantization commutes with reduction

Part 3: Appendices

Appendix A:
Signs and normalization conventions

Appendix B: Proper actions of Lie groups

Appendix C: Equivariant cohomology

Appendix D: Stable complex and
Spin^{c} structures

Appendix E: Assignments and abstract
moment maps

Appendix F: Assignment cohomology

Appendix G: Non-degenerate abstract moment maps

Appendix H: Characteristic numbers,
non-degenerate cobordisms, and non-virtual quantization

Appendix I: The Kawasaki Riemann-Roch formula

Appendix J: Cobordism invariance of the index
of a transversally elliptic operator, by Maxim Braverman

Bibliography

Index

** PDF version. **