Equivariant $K$-theory of cellular toric bundles and related spaces

V. Uma

Equivariant $K$-theory of cellular toric bundles and related spaces

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arxiv 2409.05719 v3 pith:MWKCDD33 submitted 2024-09-09 math.KT math.AGmath.AT

V. Uma This is my paper · ORCID

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keywords toricequivariantbundlescellulardescriberesultsringtheory

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abstract

In this article we describe the equivariant and ordinary topological $K$-ring of a toric bundle with fiber a $T$-{\it cellular} toric variety. This generalizes the results in \cite{su} on $K$-theory of smooth projective toric bundles. We apply our results to describe the equivariant topological $K$-ring of a toroidal horospherical embedding.

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Equivariant $K$-theory of cellular toroidal embeddings
math.AG 2025-06 conditional novelty 7.0 of 10

For cellular toroidal embeddings of a complex reductive group, the equivariant topological K-ring is described explicitly as an algebra over the equivariant K-ring of the wonderful compactification.

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