Beyond the String Genus

Details Beyond the String Genus Beyond the String Genus

2011-04-12

arxiv.org/abs/1104.2294v1

Physics

High Energy Physics

High Energy Physics - Theory

40 pages, 1 figure

Scientific paper

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.

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