An Integration Formula for the Moment Maps of Circle Actions
High Energy Physics - Theory
2016-09-06 v2
Abstract
The integration of the exponential of the square of the moment map of the circle action is studied by a direct stationary phase computation and by applying the Duistermaat-Heckman formula. Both methods yield two distinct formulas expressing the integral in terms of contributions from the critical set of the square of the moment map. The cohomological pairings on the symplectic quotient, including its volume (which was known to be a piecewise polynomial), are computed explicitly using the asymptotic behavior of the two formulas.
Keywords
Cite
@article{arxiv.hep-th/9212071,
title = {An Integration Formula for the Moment Maps of Circle Actions},
author = {Siye Wu},
journal= {arXiv preprint arXiv:hep-th/9212071},
year = {2016}
}
Comments
LaTeX file, 17 pages (typos corrected, include non-isolated fixed pts)