Duistermaat-Heckman formula for a torus action on a generalized Calabi-Yau manifold and localization formula

Details Duistermaat-Heckman formula for a torus action on a generalized Calabi-Yau manifold and localization formula Duistermaat-Heckman formula for a torus action on a generalized Calabi-Yau manifold and localization formula

2007-02-09

arxiv.org/abs/math/0702264v1

Mathematics

Differential Geometry

4pages, addendum to "Reduction for generalized Calabi-Yau structures"

Scientific paper

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.

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