Beyond the Elliptic Genus

Abstract

Given a Riemann surface and a riemannian manifold M with certain restrictions, we construct a cobordism invariant of M. This invariant is a generalization of the elliptic genus and it shares some similar properties.

42 pages, LaTeX

References in corpus (2)

• Large N and double scaling limits in two dimensions
• Quadratic functions in geometry, topology,and M-theory

Cited by in corpus (7)

• 't Hooft anomalies and the holomorphy of supersymmetric partition functions
• String structures and canonical 3-forms
• Magnetic Dirac-harmonic maps
• String Connections and Chern-Simons Theory
• A model for complex analytic equivariant elliptic cohomology from quantum field theory
• Trivializations of differential cocycles
• Beyond the String Genus