Norm-square localization for Hamiltonian $LG$-spaces

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.

40 pages, some small additions and corrections

References in corpus (2)

• Multiplicity free quasi-Hamiltonian manifolds
• Spinor modules for Hamiltonian loop group spaces

Cited by in corpus (3)

• Spinor modules for Hamiltonian loop group spaces
• Norm-square localization and the quantization of Hamiltonian loop group spaces
• Twisted Moduli Spaces and Duistermaat-Heckman Measures