A K-Theoretic Note on Geometric Quantization
辛几何
2007-05-23 v1 K理论与同调
摘要
We show that the results of the paper Symplectic Reduction and Riemann-Roch for Circle Actions of Duistermaat, Guillemin, Meinrenken and Wu can be expressed entirely in K-theory. We show that their quantization is simply a pushforward in K-theory, and use Lerman's symplectic cutting and the localization theorem in equivariant K-theory to prove that quantization commutes with reduction. Only the case where the action is free on the zero level set of the moment map is addressed.
引用
@article{arxiv.math/9809031,
title = {A K-Theoretic Note on Geometric Quantization},
author = {David S. Metzler},
journal= {arXiv preprint arXiv:math/9809031},
year = {2007}
}
备注
11 pages, LaTeX 2e using amsmath, xypic