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Equivariant $K$-theory of even-dimensional complex quadrics

Algebraic Topology 2025-11-06 v2 K-Theory and Homology

Abstract

The aim of this paper is to describe the torus equivariant KK-ring of even-dimensional complex quadrics by studying the graph equivariant KK-theory of their corresponding GKM graphs. This involves providing a presentation for its graph equivariant KK- ring in terms of generators and relations. This parallels the description of the equivariant cohomology ring of even-dimensional complex quadrics due to Kuroki.

Keywords

Cite

@article{arxiv.2401.12833,
  title  = {Equivariant $K$-theory of even-dimensional complex quadrics},
  author = {Bidhan Paul},
  journal= {arXiv preprint arXiv:2401.12833},
  year   = {2025}
}

Comments

18 pages

R2 v1 2026-06-28T14:24:50.000Z