Beyond the String Genus
High Energy Physics - Theory
2015-05-27 v1
Abstract
In an earlier work we used a path integral analysis to propose a higher genus generalization of the elliptic genus. We found a cobordism invariant parametrized by Teichmuller space. Here we simplify the formula and study the behavior of our invariant under the action of the mapping class group of the Riemann surface. We find that our invariant is a modular function with multiplier just as in genus one.
Cite
@article{arxiv.1104.2294,
title = {Beyond the String Genus},
author = {Orlando Alvarez and I. M. Singer},
journal= {arXiv preprint arXiv:1104.2294},
year = {2015}
}
Comments
40 pages, 1 figure