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Deformations of vertex algebras, quantum cohomology of toric varieties, and elliptic genus. (English) Zbl 1033.58022
The authors exhibit a relation between the chiral complex of a lattice vertex algebra and the equivariant signature of the loop space, related to the Ochanine-Witten elliptic genus.

MSC:
58J26 Elliptic genera
17B69 Vertex operators; vertex operator algebras and related structures
14M25 Toric varieties, Newton polyhedra, Okounkov bodies
14N35 Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects)
14J32 Calabi-Yau manifolds (algebro-geometric aspects)
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