On the K-theory of Toric 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 $K$-theory of simplicial toric stack bundles and study the Chern character homomorphism.

16 pages

References in corpus (3)

• A New Cohomology Theory for Orbifold
• On the $K$-theory of smooth toric DM stacks
• A note on finite abelian gerbes over toric Deligne-Mumford stacks