Equivariant Elliptic Cohomology and Rigidity on JSTOR

American Journal of Mathematics

Description: The oldest mathematics journal in the Western Hemisphere in continuous publication, the American Journal of Mathematics ranks as one of the most respected and celebrated journals in its field. Published since 1878, the Journal has earned and maintained its reputation by presenting pioneering mathematical papers. It does not specialize, but instead publishes articles of broad appeal covering the major areas of contemporary mathematics. The American Journal of Mathematics is used as a basic reference work in academic libraries, both in the United States and abroad.

Coverage: 1878-2013 (Vol. 1, No. 1 - Vol. 135, No. 6)

Moving Wall: 5 years (What is the moving wall?)

The "moving wall" represents the time period between the last issue available in JSTOR and the most recently published issue of a journal. Moving walls are generally represented in years. In rare instances, a publisher has elected to have a "zero" moving wall, so their current issues are available in JSTOR shortly after publication.
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Terms Related to the Moving Wall: Fixed walls: Journals with no new volumes being added to the archive.; Absorbed: Journals that are combined with another title.; Complete: Journals that are no longer published or that have been combined with another title.

ISSN: 00029327

EISSN: 10806377

Subjects: Mathematics, Science & Mathematics

Collections: Arts & Sciences I Collection, JSTOR Archival Journal & Primary Source Collection, JSTOR Essential Collection, Mathematics & Statistics Collection

Abstract

Equivariant elliptic cohomology with complex coefficients was defined axiomatically by Ginzburg, Kapranov and Vasserot and constructed by Grojnowski. We give an invariant definition of complex $S^{1}\text{-equivariant}$ 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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Equivariant Elliptic Cohomology and Rigidity

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Abstract