Elliptic genera, real algebraic varieties and quasi-Jacobi forms
By A. Libgober. 2009
47 citations recorded by the source corpus.
The first part surveys the push forward formula for elliptic class and various applications obtained in the papers by L.Borisov and the author. In the remaining part we discuss the ring of quasi-Jacobi forms which allow to characterize the functions which are the elliptic genera of almost complex manifolds and extension of Ochanine elliptic genus to certain singular real algebraic varieties.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/6b67cea247c8b571df4f1f146559819def0f2a8c
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In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- Characteristic classes of mixed Hodge modules (2009, result): “This type of independence question were discussed by Totaro [51], pointing out the relation to the famous elliptic genus and classes (compare also with [ 32 , 53] in these Proceedings).”