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arXiv · 2006.02403

Comparison of motivic Chern classes and stable envelopes for cotangent bundles

Jakub Koncki
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Abstract

We consider a complex smooth projective variety equipped with an action of an algebraic torus with a finite number of fixed points. We compare the motivic Chern classes of Bia{\l}ynicki-Birula cells with the $K$-theoretic stable envelopes of cotangent bundle. We prove that under certain geometric assumptions satisfied e.g. by homogenous spaces these two notions coincide up to normalization.

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Jakub Koncki. 2020-06-03. Comparison of motivic Chern classes and stable envelopes for cotangent bundles. https://arxiv.org/abs/2006.02403

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