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

Yasufumi Nitta
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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.

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Yasufumi Nitta. 2007-02-09. Duistermaat-Heckman formula for a torus action on a generalized Calabi-Yau manifold and localization formula. https://arxiv.org/abs/math/0702264

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