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Mathematics > K-Theory and Homology
Title: Equivariant $K$-theory of cellular toric varieties
(Submitted on 22 Apr 2024 (v1), last revised 30 Apr 2024 (this version, v2))
Abstract: In this article we describe the $T_{comp}$-equivariant topological $K$-ring of a $T$-{\it cellular} simplicial toric variety. We further show that $K_{T_{comp}}^0(X)$ is isomorphic as an $R(T_{comp})$-algebra to the ring of piecewise Laurent polynomial functions on the associated fan denoted $PLP(\Delta)$. Furthermore, we compute a basis for $K_{T_{comp}}^0(X)$ as a $R(T_{comp})$-module and multiplicative structure constants with respect to this basis.
Submission history
From: V. Uma [view email][v1] Mon, 22 Apr 2024 14:11:33 GMT (24kb)
[v2] Tue, 30 Apr 2024 03:44:59 GMT (24kb)
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