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On the $K$-theory of smooth toric DM stacks

Lev A. Borisov·R. Paul Horja
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Abstract

We explicitly calculate the Grothendieck $K$-theory ring of a smooth toric Deligne-Mumford stack and define an analog of the Chern character. In addition, we calculate $K$-theory pushforwards and pullbacks for weighted blowups of reduced smooth toric DM stacks.

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Lev A. Borisov, R. Paul Horja. 2005-03-14. On the $K$-theory of smooth toric DM stacks. https://arxiv.org/abs/math/0503277

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