English

Virtual Localization in equivariant Witt cohomology

Algebraic Geometry 2024-11-19 v4 Algebraic Topology

Abstract

We prove an analog of the virtual localization theorem of Graber-Pandharipande, in the setting of an action by the normalizer of the torus in SL2\text{SL}_2, and with the Chow groups replaced by the cohomology of a suitably twisted sheaf of Witt groups.

Keywords

Cite

@article{arxiv.2203.15887,
  title  = {Virtual Localization in equivariant Witt cohomology},
  author = {Marc Levine},
  journal= {arXiv preprint arXiv:2203.15887},
  year   = {2024}
}

Comments

More ackground on six-functors was added. New sections on independence of choice of models and on changing the group for equivariant Borel-Moore homology was added. Additional details added to some proofs. To appear Indagationes Math. volume for Jacob Murre