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

GOAT

https://doi.org/10.1007/978-3-030-27227-2Symplectic geometry; Equivariant cohomology; Moduli spaces; Flat connections; Gauge theory

含糊

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

盤旋

喃喃而言

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.

諂媚于人

廢除

不在灌木叢中

entice

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.

Precursor

匯總