$K$-theory of Flag Bott manifolds

Abstract

The aim of this paper is to describe the topological $K$-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.

arXiv comment25 pages, To appear in Forum Mathematicum

References in corpus (4)

• Flag Bott manifolds and the toric closure of a generic orbit associated to a generalized Bott manifold
• Flag Bott manifolds of general Lie type and their equivariant cohomology rings
• Algebraic and geometric properties of flag Bott-Samelson varieties and applications to representations
• Projective bundles over small covers and topological triviality problem

Cited by in corpus (1)

• Equivariant $K$-theory of flag Bott manifolds of general Lie type