Norm-square localization for Hamiltonian $LG$-spaces
Symplectic Geometry
2018-04-03 v3
Abstract
We prove a formula for twisted Duistermaat-Heckman distributions associated to a Hamiltonian -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 -spaces, as well as the Hamiltonian cobordism approach to norm-square localization introduced recently by Harada and Karshon.
Cite
@article{arxiv.1604.01965,
title = {Norm-square localization for Hamiltonian $LG$-spaces},
author = {Yiannis Loizides},
journal= {arXiv preprint arXiv:1604.01965},
year = {2018}
}
Comments
40 pages, some small additions and corrections