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

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flag (linear algebra) mathematics equivariant map pure mathematics maximal torus equivariant cohomology generalized flag variety iterated function cohomology lie group type (biology) torus lie algebra algebra over a field mathematical analysis fundamental representation geometry ecology weight biology

Shizuo Kaji , Shintarô Kuroki , Eunjeong Lee , Dong Youp Suh ·

YOU? · · 2020 · Open Access · · DOI: https://doi.org/10.4310/hha.2020.v22.n1.a21 · OA: W2943710091

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.