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arXiv · 2404.14201

Equivariant $K$-theory of cellular toric varieties

V. Uma
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Abstract

In this article we describe the $T_{comp}$-equivariant topological $K$-ring of a $T$-{\it cellular} complete 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.

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V. Uma. 2024-04-22. Equivariant $K$-theory of cellular toric varieties. https://arxiv.org/abs/2404.14201

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