Flag Bott manifolds of general Lie type and their equivariant cohomology rings

Abstract

In this article we introduce flag Bott manifolds of general Lie type as the total spaces of iterated flag bundles. They generalize the notion of flag Bott manifolds and generalized Bott manifolds, and admit nice torus actions. We calculate the torus equivariant cohomology rings of flag Bott manifolds of general Lie type.

References in corpus (3)

• Flag Bott manifolds and the toric closure of a generic orbit associated to a generalized Bott manifold
• Algebraic and geometric properties of flag Bott-Samelson varieties and applications to representations
• Equivariant cohomology rings of the real flag manifolds

Cited by in corpus (5)

• Flag Bott manifolds and the toric closure of a generic orbit associated to a generalized Bott manifold
• Algebraic and geometric properties of flag Bott-Samelson varieties and applications to representations
• On Schubert varieties of complexity one
• Equivariant $K$-theory of flag Bott manifolds of general Lie type
• $K$-theory of Flag Bott manifolds