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

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

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Differential Geometry, Symplectic Geometry, 37J15, 14J32

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http://salesiana.dossiersoluciones.com/handle/123456789/123652

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0702264
 http://arxiv.org/abs/math/0702264

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arXiv