On the K-theory of Toric Stack Bundles
Yunfeng Jiang, Hsian-Hua Tseng

TL;DR
This paper computes the Grothendieck K-theory of simplicial toric stack bundles and investigates the Chern character homomorphism, advancing understanding of their algebraic K-theoretic properties.
Contribution
It provides explicit calculations of K-theory for simplicial toric stack bundles and analyzes the Chern character map, a novel contribution in the field.
Findings
Explicit K-theory formulas for simplicial toric stack bundles
Insights into the structure of the Chern character homomorphism
Enhanced understanding of algebraic K-theory in stack bundles
Abstract
Simplicial toric stack bundles are smooth Deligne-Mumford stacks over smooth varieties with fibre a toric Deligne-Mumford stack. We compute the Grothendieck -theory of simplicial toric stack bundles and study the Chern character homomorphism.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Homotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models
