標(biāo)題: Titlebook: Hamiltonian Group Actions and Equivariant Cohomology; Shubham Dwivedi,Jonathan Herman,Theo van den Hurk Book 2019 The Author(s), under exc [打印本頁] 作者: Insularity 時(shí)間: 2025-3-21 16:25
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書目名稱Hamiltonian Group Actions and Equivariant Cohomology讀者反饋學(xué)科排名
作者: 個(gè)人長篇演說 時(shí)間: 2025-3-21 22:14 作者: –scent 時(shí)間: 2025-3-22 02:34
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.作者: Peculate 時(shí)間: 2025-3-22 06:56
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.作者: 沒有希望 時(shí)間: 2025-3-22 11:35 作者: Inertia 時(shí)間: 2025-3-22 13:01 作者: AWRY 時(shí)間: 2025-3-22 18:28
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.作者: thrombus 時(shí)間: 2025-3-23 00:51
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.作者: 枯燥 時(shí)間: 2025-3-23 01:23
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作者: Digest 時(shí)間: 2025-3-23 07:09
SpringerBriefs in Mathematicshttp://image.papertrans.cn/h/image/420634.jpg作者: 泥瓦匠 時(shí)間: 2025-3-23 13:03
https://doi.org/10.1007/978-1-4612-4646-6s that around any point of a symplectic manifold, there is a chart for which the symplectic form has a particularly nice form. In this section, we give a proof of an equivariant version of the theorem and look at some corollaries. We direct the reader to [.] or Sect.?22 of [.] for more details.作者: 委屈 時(shí)間: 2025-3-23 16:26 作者: 蕁麻 時(shí)間: 2025-3-23 19:18 作者: Muffle 時(shí)間: 2025-3-24 00:51
The Physics Behind Semiconductor Technologyase space”, parametrizing position and momentum) is replaced by a vector space with an inner product; in other words, a Hilbert space (the “space of wave functions”). Functions on the manifold (“observables”) are replaced by endomorphisms of the vector space.作者: 莊嚴(yán) 時(shí)間: 2025-3-24 03:33 作者: 喧鬧 時(shí)間: 2025-3-24 07:32
The Symplectic Structure on Coadjoint Orbits,irillov–Kostant–Souriau form). An example of an orbit of the adjoint action is the two-sphere, which is an orbit of the action of the rotation group .(3) on its Lie algebra .. Background information on Lie groups may be found in Appendix.作者: endarterectomy 時(shí)間: 2025-3-24 11:09
,The Duistermaat–Heckman Theorem,ich comes from the original article [.]) describes how the Liouville measure of a symplectic quotient varies. The second describes an oscillatory integral over a symplectic manifold equipped with a Hamiltonian group action and can be characterized by the slogan “Stationary phase is exact”.作者: 記憶 時(shí)間: 2025-3-24 16:58
Geometric Quantization,ase space”, parametrizing position and momentum) is replaced by a vector space with an inner product; in other words, a Hilbert space (the “space of wave functions”). Functions on the manifold (“observables”) are replaced by endomorphisms of the vector space.作者: Lice692 時(shí)間: 2025-3-24 22:01 作者: 豐滿中國 時(shí)間: 2025-3-25 02:59
Hamiltonian Group Actions and Equivariant Cohomology978-3-030-27227-2Series ISSN 2191-8198 Series E-ISSN 2191-8201 作者: GOAT 時(shí)間: 2025-3-25 06:11
https://doi.org/10.1007/978-3-030-27227-2Symplectic geometry; Equivariant cohomology; Moduli spaces; Flat connections; Gauge theory作者: 含糊 時(shí)間: 2025-3-25 10:51
Book 2019 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 comprehensiv作者: 盤旋 時(shí)間: 2025-3-25 13:16 作者: 喃喃而言 時(shí)間: 2025-3-25 17:22
Toric Manifolds,symmetry as possible—when the torus is of largest possible dimension for the action to be effective. The main result of this chapter, due to Delzant, says that in the case of maximal symmetry the polytope completely determines the Hamiltonian .-space, where . is a torus.作者: 諂媚于人 時(shí)間: 2025-3-25 21:00 作者: 廢除 時(shí)間: 2025-3-26 02:30 作者: 不在灌木叢中 時(shí)間: 2025-3-26 04:30 作者: entice 時(shí)間: 2025-3-26 08:31
Equivariant Cohomology,al dependence on .. A version of de Rham cohomology can be developed for the Cartan model. The localization theorem of Atiyah–Bott and Berline–Vergne describes the evaluation of such an equivariantly closed differential form on the fundamental class of the manifold.作者: Precursor 時(shí)間: 2025-3-26 12:54 作者: 匯總 時(shí)間: 2025-3-26 19:37 作者: Acetaldehyde 時(shí)間: 2025-3-26 22:34
The Physicists’ View of Nature Part 2symmetry as possible—when the torus is of largest possible dimension for the action to be effective. The main result of this chapter, due to Delzant, says that in the case of maximal symmetry the polytope completely determines the Hamiltonian .-space, where . is a torus.作者: lethargy 時(shí)間: 2025-3-27 03:33
Book 2019an 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..作者: instulate 時(shí)間: 2025-3-27 09:08 作者: 武器 時(shí)間: 2025-3-27 10:16
2191-8198 ble 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..978-3-030-27226-5978-3-030-27227-2Series ISSN 2191-8198 Series E-ISSN 2191-8201 作者: 叫喊 時(shí)間: 2025-3-27 16:39 作者: Adj異類的 時(shí)間: 2025-3-27 21:46 作者: Grating 時(shí)間: 2025-3-28 00:25
https://doi.org/10.1007/978-1-4612-4646-6s that around any point of a symplectic manifold, there is a chart for which the symplectic form has a particularly nice form. In this section, we give a proof of an equivariant version of the theorem and look at some corollaries. We direct the reader to [.] or Sect.?22 of [.] for more details.作者: ILEUM 時(shí)間: 2025-3-28 03:17
https://doi.org/10.1007/978-1-60761-134-9irillov–Kostant–Souriau form). An example of an orbit of the adjoint action is the two-sphere, which is an orbit of the action of the rotation group .(3) on its Lie algebra .. Background information on Lie groups may be found in Appendix.作者: 踉蹌 時(shí)間: 2025-3-28 06:29 作者: 鉆孔 時(shí)間: 2025-3-28 11:06 作者: frugal 時(shí)間: 2025-3-28 17:11
The Physicist‘s Conception of Natureich comes from the original article [.]) describes how the Liouville measure of a symplectic quotient varies. The second describes an oscillatory integral over a symplectic manifold equipped with a Hamiltonian group action and can be characterized by the slogan “Stationary phase is exact”.作者: 異端邪說2 時(shí)間: 2025-3-28 20:03
The Physics Behind Semiconductor Technologyase space”, parametrizing position and momentum) is replaced by a vector space with an inner product; in other words, a Hilbert space (the “space of wave functions”). Functions on the manifold (“observables”) are replaced by endomorphisms of the vector space.作者: chlorosis 時(shí)間: 2025-3-29 00:33
Symplectic Vector Spaces,y reviewing the notion of an almost complex structure on a vector space, we will see how the compatibility condition between the symplectic form and an almost complex structure gives rise to an inner product. In Sect.?., we will discuss the definition of symplectic manifolds, describe some of their 作者: PACK 時(shí)間: 2025-3-29 05:33
Hamiltonian Group Actions, the original example of a Hamiltonian flow, namely, Hamilton’s equations. In Sect.?., we will start by understanding what Hamiltonian vector fields and Hamiltonian functions are. In Sect.?., we will introduce a bracket on the set of smooth functions on a symplectic manifold which will satisfy the J作者: 冷淡周邊 時(shí)間: 2025-3-29 07:41 作者: 無法取消 時(shí)間: 2025-3-29 11:35
The Symplectic Structure on Coadjoint Orbits,irillov–Kostant–Souriau form). An example of an orbit of the adjoint action is the two-sphere, which is an orbit of the action of the rotation group .(3) on its Lie algebra .. Background information on Lie groups may be found in Appendix.作者: 傻 時(shí)間: 2025-3-29 19:23
Toric Manifolds,een that the geometry of the moment polytope . is strongly related to the orbit structure of the action. We will study the case when there is as much symmetry as possible—when the torus is of largest possible dimension for the action to be effective. The main result of this chapter, due to Delzant, 作者: 鞭打 時(shí)間: 2025-3-29 21:00 作者: Expurgate 時(shí)間: 2025-3-30 03:39
,The Duistermaat–Heckman Theorem,ich comes from the original article [.]) describes how the Liouville measure of a symplectic quotient varies. The second describes an oscillatory integral over a symplectic manifold equipped with a Hamiltonian group action and can be characterized by the slogan “Stationary phase is exact”.作者: 馬賽克 時(shí)間: 2025-3-30 07:29
