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arXiv · 1508.03134

A Schubert basis in equivariant elliptic cohomology

Cristian Lenart·Kirill Zainoulline
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Abstract

We address the problem of defining Schubert classes independently of a reduced word in equivariant elliptic cohomology, based on the Kazhdan-Lusztig basis of a corresponding Hecke algebra. We study some basic properties of these classes, and make two important conjectures about them: a positivity conjecture, and the agreement with the topologically defined Schubert classes in the smooth case. We prove some special cases of these conjectures.

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Cristian Lenart, Kirill Zainoulline. 2015-08-13. A Schubert basis in equivariant elliptic cohomology. https://arxiv.org/abs/1508.03134

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