Beyond the string genus

Orlando Alvarez, I. M. Singer

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish (US)
Pages (from-to)349-386
Number of pages38
JournalNuclear Physics B
Issue number2
StatePublished - Sep 11 2011


  • Elliptic genus
  • String theory

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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