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Notes on G-theory of Deligne-Mumford stacks

B. Toen
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Abstract

Based on the methods used by the author to prove the Riemann-Roch formula for algebraic stacks, this paper contains a description of the rationnal G-theory of Deligne-Mumford stacks over general bases. We will use these results to study equivariant K-theory, and also to define new filtrations on K-theory of algebraic stacks.

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B. Toen. 1999-12-21. Notes on G-theory of Deligne-Mumford stacks. https://arxiv.org/abs/math/9912172

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