عنوان

Hamiltonian group actions and equivariant cohomology /

(Number (ISBN

3030272273

(Number (ISBN

9783030272272

Erroneous ISBN

9783030272265

Title Proper

Hamiltonian group actions and equivariant cohomology /

General Material Designation

[Book]

First Statement of Responsibility

Shubham Dwivedi, Jonathan Herman, Lisa C. Jeffrey, Theo van den Hurk.

Place of Publication, Distribution, etc.

Cham :

Name of Publisher, Distributor, etc.

Springer,

Date of Publication, Distribution, etc.

2019.

Specific Material Designation and Extent of Item

1 online resource (140 pages)

Series Title

SpringerBriefs in Mathematics

Text of Note

Symplectic vector spaces -- Hamiltonian group actions -- The Darboux-Weinstein Theorem -- Elementary properties of moment maps -- The symplectic structure on coadjoint orbits -- Symplectic Reduction -- Convexity -- Toric Manifolds -- Equivariant Cohomology -- The Duistermaat-Heckman Theorem -- Geometric Quantization -- Flat connections on 2-manifolds.

0

Text of Note

This monograph could be used for a graduate course on symplectic geometry as well as for independent study. The monograph starts with an introduction of symplectic vector spaces, followed by symplectic manifolds and then Hamiltonian group actions and the Darboux theorem. After discussing moment maps and orbits of the coadjoint action, symplectic quotients are studied. The convexity theorem and toric manifolds come next and we give a comprehensive treatment of Equivariant cohomology. The monograph also contains detailed treatment of the Duistermaat-Heckman Theorem, geometric quantization, and flat connections on 2-manifolds. Finally, there is an appendix which provides background material on Lie groups. A course on differential topology is an essential prerequisite for this course. Some of the later material will be more accessible to readers who have had a basic course on algebraic topology. For some of the later chapters, it would be helpful to have some background on representation theory and complex geometry.

Source for Acquisition/Subscription Address

Springer Nature

Stock Number

com.springer.onix.9783030272272

Title

Hamiltonian Group Actions and Equivariant Cohomology.

International Standard Book Number

9783030272265

Homology theory.

Symplectic geometry.

Homology theory.

Symplectic geometry.

Number

Number

Edition

Class number

Dwivedi, Shubham.

Herman, Jonathan.

Hurk, Theo van den.

Jeffrey, Lisa C.

Date of Transaction

20200823093721.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y