Equivariant $K$-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 $T$-{\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.

23 pages. arXiv admin note: text overlap with arXiv:2404.14201