عنوان

Hamiltonian group actions and equivariant cohomology /

شابک

3030272273

شابک

9783030272272

شابک اشتباه

9783030272265

عنوان اصلي

Hamiltonian group actions and equivariant cohomology /

نام عام مواد

[Book]

نام نخستين پديدآور

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

محل نشرو پخش و غیره

Cham :

نام ناشر، پخش کننده و غيره

Springer,

تاریخ نشرو بخش و غیره

2019.

نام خاص و کميت اثر

1 online resource (140 pages)

عنوان فروست

SpringerBriefs in Mathematics

متن يادداشت

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.

بدون عنوان

0

متن يادداشت

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.

منبع سفارش / آدرس اشتراک

Springer Nature

شماره انبار

com.springer.onix.9783030272272

عنوان

Hamiltonian Group Actions and Equivariant Cohomology.

شماره استاندارد بين المللي کتاب و موسيقي

9783030272265

موضوع مستند نشده

Homology theory.

موضوع مستند نشده

Symplectic geometry.

موضوع مستند نشده

Homology theory.

موضوع مستند نشده

Symplectic geometry.

شماره

شماره

ويراست

شماره رده

مستند نام اشخاص تاييد نشده

Dwivedi, Shubham.

مستند نام اشخاص تاييد نشده

Herman, Jonathan.

مستند نام اشخاص تاييد نشده

Hurk, Theo van den.

مستند نام اشخاص تاييد نشده

Jeffrey, Lisa C.

تاريخ عمليات

20200823093721.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y