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arxiv: math/0201135 · v2 · pith:UPLDFQHUnew · submitted 2002-01-15 · 🧮 math.DG · math.QA· math.RT

Elliptic genus and vertex operator algebras

classification 🧮 math.DG math.QAmath.RT
keywords operatoralgebrasbundlesvertexconstructdiracellipticgeneralizes
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We construct bundles of modules of vertex operator algebras, and prove the rigidity and vanishing theorem for the Dirac operator on loop space twisted by such bundles. This result generalizes many previous results.

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