Symplectic reduction and a weighted multiplicity formula for twisted Spin$^c$-Dirac operators
Differential Geometry
2007-05-23 v1
Abstract
We extend our earlier work in [TZ1], where an analytic approach to the Guillemin-Sternberg conjecture [GS] was developed, to cases where the Spin-complex under consideration is allowed to be further twisted by certain natural exterior power bundles. The main result is a weighted quantization formula in the presence of commuting Hamiltonian actions. The corresponding Morse type inequalities in holomorphic situations are also established.
Cite
@article{arxiv.math/9802105,
title = {Symplectic reduction and a weighted multiplicity formula for twisted Spin$^c$-Dirac operators},
author = {Youliang Tian and Weiping Zhang},
journal= {arXiv preprint arXiv:math/9802105},
year = {2007}
}