Equivariant <i>K</i> -theory of cellular toric bundles and related spaces

Abstract In this article we describe the equivariant and ordinary topological K -ring of a toric bundle with fiber a T - cellular toric variety. This generalizes the results in [P. Sankaran and V. Uma, Cohomology of toric bundles, Comment. Math. Helv. 78 2003, 3, 540–554] 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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Publication Details

Journal
Forum Mathematicum
Published
2025-10-10
DOI
https://doi.org/10.1515/forum-2025-0054
Primary Topic
Algebraic Geometry and Number Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

Equivariant K -theory of cellular toric bundles and related spaces

Uma Vikraman
Forum Mathematicum
Algebraic Geometry and Number Theory
article

Equivariant K -theory of cellular toric bundles and related spaces

Uma Vikraman
article en

Abstract

Abstract In this article we describe the equivariant and ordinary topological K -ring of a toric bundle with fiber a T - cellular toric variety. This generalizes the results in [P. Sankaran and V. Uma, Cohomology of toric bundles, Comment. Math. Helv. 78 2003, 3, 540–554] on K -theory of smooth projective toric bundles. We apply our results to describe the equivariant topological K -ring of a toroidal horospherical embedding.

Forum Mathematicum
Indian Institute of Technology Madras (IN)
Openalex Percentile: Top 66%
Algebraic Geometry and Number Theory
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Equivariant <i>K</i> -theory of cellular toric bundles and related spaces — Uma Vikraman · Forum Mathematicum (2025) | TGRS Research Map | TGRS