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arXiv · 1604.01965

Norm-square localization for Hamiltonian $LG$-spaces

Yiannis Loizides
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Abstract

We prove a formula for twisted Duistermaat-Heckman distributions associated to a Hamiltonian $LG$-space. The terms of the formula are localized at the critical points of the norm-square of the moment map, and can be computed in cross-sections. Our main tools are the theory of quasi-Hamiltonian $G$-spaces, as well as the Hamiltonian cobordism approach to norm-square localization introduced recently by Harada and Karshon.

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Yiannis Loizides. 2016-04-07. Norm-square localization for Hamiltonian $LG$-spaces. https://doi.org/10.1016/j.geomphys.2016.12.015

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