{"title":"Equivariant $K$-theory of cellular toric bundles and related spaces","authors":"V. Uma","doi":"arxiv-2409.05719","DOIUrl":null,"url":null,"abstract":"In this article we describe the equivariant and ordinary topological $K$-ring\nof a toric bundle with fiber a $T$-{\\it cellular} toric variety. This\ngeneralizes the results in \\cite{su} on $K$-theory of smooth projective toric\nbundles. We apply our results to describe the equivariant topological $K$-ring\nof a toroidal horospherical embedding.","PeriodicalId":501143,"journal":{"name":"arXiv - MATH - K-Theory and Homology","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - K-Theory and Homology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.05719","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
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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