Duistermaat-Heckman formula for a torus action on a generalized Calabi-Yau manifold and localization formula
Differential Geometry
2007-05-23 v1 Symplectic Geometry
Abstract
This note is an addendum to our earlier work \cite{humi}. In \cite{humi}, we studied a Hamiltonian action for a generalized Calabi-Yau manifold and showed that the Duistermaat-Heckman theorem holds. The purpose of this note is to show that the density function of the Duistermaa-Heckman measure is a piecewise polynomial. We also prove that the localization formula holds.
Keywords
Cite
@article{arxiv.math/0702264,
title = {Duistermaat-Heckman formula for a torus action on a generalized Calabi-Yau manifold and localization formula},
author = {Yasufumi Nitta},
journal= {arXiv preprint arXiv:math/0702264},
year = {2007}
}
Comments
4pages, addendum to "Reduction for generalized Calabi-Yau structures"