Articles

Equivariant Elliptic Cohomology and Rigidity

I. ROSU

American Journal of Mathematics

August 2001, vol. 123, n°4, pp.647-677

Departments: Finance, GREGHEC (CNRS)


Equivariant elliptic cohomology with coriplex coefficients was defined axiomatically by Ginzburg. Kapranov and Vasserot and constructed by Grojnowski. We give an invariant definition of complex S1-equivariant elliptic cohomology, and use it to give an entirely cohomological proof of the rigidity theorem of Witten for the elliptic genus. We also state and prove a rigidity theorem for families of elliptic genera.


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