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Titlebook: Hamiltonian Group Actions and Equivariant Cohomology; Shubham Dwivedi,Jonathan Herman,Theo van den Hurk Book 2019 The Author(s), under exc

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發(fā)表于 2025-3-21 16:25:06 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Hamiltonian Group Actions and Equivariant Cohomology
編輯Shubham Dwivedi,Jonathan Herman,Theo van den Hurk
視頻videohttp://file.papertrans.cn/421/420634/420634.mp4
概述Self-contained treatment of equivariant cohomology.Treatment of moduli spaces of flat connections (a topic of considerable current interest).The only background required is a course on differential ma
叢書名稱SpringerBriefs in Mathematics
圖書封面Titlebook: Hamiltonian Group Actions and Equivariant Cohomology;  Shubham Dwivedi,Jonathan Herman,Theo van den Hurk Book 2019 The Author(s), under exc
描述.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..
出版日期Book 2019
關(guān)鍵詞Symplectic geometry; Equivariant cohomology; Moduli spaces; Flat connections; Gauge theory
版次1
doihttps://doi.org/10.1007/978-3-030-27227-2
isbn_softcover978-3-030-27226-5
isbn_ebook978-3-030-27227-2Series ISSN 2191-8198 Series E-ISSN 2191-8201
issn_series 2191-8198
copyrightThe Author(s), under exclusive licence to Springer Nature Switzerland AG 2019
The information of publication is updating

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The Physician‘s Guide to InvestingIn this chapter, we examine the properties of the image of the moment map for a Hamiltonian torus action. One prototype was the Schur–Horn theorem [., .]: Given a skew Hermitian matrix with prescribed eigenvalues, the diagonal entries form the convex hull of the set of permutations of the eigenvalues.
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The IBM Research Symposia SeriesIn this chapter, we aim to provide a survey on the subject of representations of fundamental groups of 2-manifolds, or in other guises flat connections on orientable 2-manifolds or moduli spaces parametrizing holomorphic vector bundles on Riemann surfaces.
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Convexity,In this chapter, we examine the properties of the image of the moment map for a Hamiltonian torus action. One prototype was the Schur–Horn theorem [., .]: Given a skew Hermitian matrix with prescribed eigenvalues, the diagonal entries form the convex hull of the set of permutations of the eigenvalues.
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發(fā)表于 2025-3-23 00:51:31 | 只看該作者
Flat Connections on 2-Manifolds,In this chapter, we aim to provide a survey on the subject of representations of fundamental groups of 2-manifolds, or in other guises flat connections on orientable 2-manifolds or moduli spaces parametrizing holomorphic vector bundles on Riemann surfaces.
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Shubham Dwivedi,Jonathan Herman,Theo van den HurkSelf-contained treatment of equivariant cohomology.Treatment of moduli spaces of flat connections (a topic of considerable current interest).The only background required is a course on differential ma
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SpringerBriefs in Mathematicshttp://image.papertrans.cn/h/image/420634.jpg
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