A path integral derivation of $\chi_y$-genus
Mathematical Physics
2009-11-10 v1 math.MP
Abstract
The formula for the Hirzebruch -genus of complex manifolds is a consequence of the Hirzebruch-Riemann-Roch formula. The classical index formulae for Todd genus, Euler number, and Signature correspond to the case when the complex variable 0, -1, and 1 respectively. Here we give a {\it direct} derivation of this nice formula based on supersymmetric quantum mechanics.
Cite
@article{arxiv.math-ph/0306041,
title = {A path integral derivation of $\chi_y$-genus},
author = {Guowu Meng},
journal= {arXiv preprint arXiv:math-ph/0306041},
year = {2009}
}
Comments
5 pages