Localization for invariant submanifolds

Authors
Kogan, M
Citation
M. Kogan, Localization for invariant submanifolds, MATH RES LE, 8(1-2), 2001, pp. 141-156
Citations number
18
Categorie Soggetti
Mathematics
Journal title
MATHEMATICAL RESEARCH LETTERS
ISSN journal
10732780 → ACNP
Volume
8
Issue
1-2
Year of publication
2001
Pages
141 - 156
Database
ISI
SICI code
1073-2780(200101/03)8:1-2<141:LFIS>2.0.ZU;2-Z
Abstract
Given a manifold M with an equivariantly formal circle action and any invar iant submanifold W which does not contain fixed points of the action, we pr esent a new localization theorem, which expresses an integration over W/S-1 in terms of an integration over the fixed points of the action. In the set ting of symplectic geometry our results imply the Jeffrey-Kirwan localizati on theorem for the circle action.