McKay correspondence for elliptic genera

By L. Borisov, A. Libgober. 2002

64 citations recorded by the source corpus.

We establish a correspondence between orbifold and singular elliptic genera of a global quotient. While the former is defined in terms of the fixed point set of the action, the latter is defined in terms of the resolution of singularities. As a byproduct, the second quantization formula of Dijkgraaf, Moore, Verlinde and Verlinde is extended to arbitrary Kawamata log-terminal pairs.

Subfields: Geometry and Topology, Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/69aaa4d18a2da730b6dfcab6112c1bb077404fbe

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Joerg Schuermann
2. Shoji Yokura
3. A. Libgober
4. Alexander I. Suciu
5. Nero Budur
6. Stefan Papadima
7. Laurentiu G. Maxim
8. Alexandru Dimca

In Mathematical Physics

1. Joerg Schuermann
2. Shoji Yokura
3. A. Libgober
4. Alexander I. Suciu
5. Stefan Papadima
6. Laurentiu G. Maxim
7. Mihnea Cristian Popa
8. C. Schnell

In Statistical and Nonlinear Physics

1. Shoji Yokura
2. Joerg Schuermann
3. A. Libgober

Citations in the corpus

• Elliptic genera, real algebraic varieties and quasi-Jacobi forms (2009, background): “…( X , G ) where X is a non-singular variety, D is a divisor and G is a finite group of biholomorphic automorphisms is called G -normal (cf. [2], [9]) if the components of D form a normal crossings divisor and the isotropy group of any point acts trivially on the components of D containing this…”
• A survey of characteristic classes of singular spaces (2005, methodology): “Similarly it will be enough to conside r only the complex elliptic genus and classes corresponding to k = 0 (as in [BL1, BL2 ]), since the case of general k follows then from the projection formula (as already explained before).”