Elliptic Genera of singular varieties, orbifold elliptic genus and chiral deRham complex
arXiv:math/0007126
Abstract
This paper surveys the authors recent work on two variable elliptic genus of singular varieties. The last section calculates a generating function for the elliptic genera of symmetric products. This generalizes the classical results of Macdonald and Zagier.
arXiv commentLaTeX, 20 pages
References in corpus (6)
- Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties
- On the Cobordism Class of the Hilbert Scheme of a Surface
- Topological Orbifold Models and Quantum Cohomology Rings
- Elliptic Genera and Applications to Mirror Symmetry
- Modular Invariance and Characteristic Numbers
- Complex vector bundles and Jacobi forms
Cited by in corpus (10)
- Discriminants in the Grothendieck Ring
- Mathieu Moonshine and the Geometry of K3 Surfaces
- Two-Dimensional Twisted Sigma Models And The Theory of Chiral Differential Operators
- Twisted genera of symmetric products
- Chiral Hodge cohomology and Mathieu moonshin
- Equivariant Cohomology Of The Chiral de Rham Complex And The Half-Twisted Gauged Sigma Model
- Chiral de Rham Complex and Orbifolds
- McKay correspondence for elliptic genera
- The Half-Twisted Orbifold Sigma Model and the Chiral de Rham Complex
- Discrete torsion, orbifold elliptic genera, and the chiral de Rham complex