On equivariant index of a generalized Bott manifold
Yuki Sugiyama
TL;DR
This paper studies the equivariant index of generalized Bott manifolds, revealing its multiplicity function relates to a generalized twisted cube density and providing a Demazure-type character formula.
Contribution
It introduces a novel connection between the equivariant index multiplicities and generalized twisted cubes, along with a new Demazure-type character formula.
Findings
Multiplicity function matches the density of a generalized twisted cube
Derived a Demazure-type character formula for the representation
Established a link between geometric and combinatorial structures
Abstract
In this paper, we consider the equivariant index of a generalized Bott manifold. We show the multiplicity function of the equivariant index is given by the density function of a generalized twisted cube. In addition, we give a Demazure-type character formula of this representation.
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Taxonomy
TopicsGeometry and complex manifolds · Geometric and Algebraic Topology · Advanced Operator Algebra Research