English

$K$-theory of Flag Bott manifolds

Algebraic Topology 2026-01-15 v2 Algebraic Geometry

Abstract

The aim of this paper is to describe the topological KK-ring, in terms of generators and relations of a flag Bott manifold. We apply our results to give a presentation for the topological K-ring and hence the Grothendieck ring of algebraic vector bundles over flag Bott Samelson varieties.

Keywords

Cite

@article{arxiv.2208.07278,
  title  = {$K$-theory of Flag Bott manifolds},
  author = {Bidhan Paul and Vikraman Uma},
  journal= {arXiv preprint arXiv:2208.07278},
  year   = {2026}
}

Comments

25 pages, To appear in Forum Mathematicum