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Beyond the String Genus

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 نشر من قبل Orlando Alvarez
 تاريخ النشر 2011
  مجال البحث
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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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