Symplectic quotients by a nonabelian group and by its maximal torus
| dc.creator | Martin, Shaun | |
| dc.date | 2000-01-01 | |
| dc.date.accessioned | 2026-07-25T22:36:44Z | |
| dc.description | This paper examines the relationship between the symplectic quotient X//G of a Hamiltonian G-manifold X, and the associated symplectic quotient X//T, where T is a maximal torus, in the case in which X//G is a compact manifold or orbifold. The three main results are: a formula expressing the rational cohomology ring of X//G in terms of the rational cohomology ring of X//T; an `integration' formula, which expresses cohomology pairings on X//G in terms of cohomology pairings on X//T; and an index formula, which expresses the indices of elliptic operators on X//G in terms of indices on X//T. (The results of this paper are complemented by the results in a companion paper, in which different techniques are used to derive formulae for cohomology pairings on symplectic quotients X//T, where T is a torus, in terms of the T-fixed points of X. That paper also gives some applications of the formulae proved here.) | |
| dc.description | 18 pages, latex2e. Submitted to Annals of Mathematics Mar 99, accepted for publication Dec 99 | |
| dc.identifier | https://arxiv.org/abs/math/0001002 | |
| dc.identifier | http://arxiv.org/abs/math/0001002 | |
| dc.identifier.uri | https://dspace.dare.co.zw/handle/123456789/90770 | |
| dc.subject | Symplectic Geometry | |
| dc.title | Symplectic quotients by a nonabelian group and by its maximal torus | |
| dc.type | text |