Sympletic Reduction and a Weighted Multiplicity Formula for Twisted Spin^c-Dirac Operations
Geometric Topology
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^c-complex under consideration is allowed to be further twisted by certain exterior power bundles of the cotangent bundle. 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/9901092,
title = {Sympletic Reduction and a Weighted Multiplicity Formula for Twisted Spin^c-Dirac Operations},
author = {Youliang Tian and Weiping Zhang},
journal= {arXiv preprint arXiv:math/9901092},
year = {2007}
}
Comments
17 pages