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

Abstract

The aim of this paper is to describe the equivariant and ordinary Grothendieck ring and the equivariant and ordinary topological $K$-ring of flag Bott manifolds of general Lie type. This will generalize the results on the equivariant and ordinary cohomology of flag Bott manifolds of general Lie type due to Kaji Kuroki Lee and Suh.

arXiv comment26 pages

References in corpus (6)

• 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
• Results on the topology of generalized real Bott manifolds
• $K$-theory of Flag Bott manifolds