细胞环束及相关空间的等变 $K$ 理论

arXiv - MATH - K-Theory and Homology Pub Date : 2024-09-09 DOI:arxiv-2409.05719

V. Uma

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引用次数: 0

摘要

在这篇文章中，我们描述了纤维为$T$-{it cellular}环综的环束的等变与普通拓扑$K$环。这概括了《cite{su}》中关于光滑投影环束的 $K$ 理论的结果。我们应用我们的结果来描述环状角球嵌入的等变拓扑$K$环。

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

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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arXiv - MATH - K-Theory and Homology

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