English

Comparison of motivic Chern classes and stable envelopes for cotangent bundles

Algebraic Geometry 2021-11-08 v2

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 KK-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.

Keywords

Cite

@article{arxiv.2006.02403,
  title  = {Comparison of motivic Chern classes and stable envelopes for cotangent bundles},
  author = {Jakub Koncki},
  journal= {arXiv preprint arXiv:2006.02403},
  year   = {2021}
}

Comments

Accepted for publication by the Journal of Topology