Atiyah-Segal theorem for Deligne-Mumford stacks and applications

Amalendu Krishna, Bhamidi Sreedhar

We prove an Atiyah-Segal isomorphism for the higher $K$-theory of coherent sheaves on quotient Deligne-Mumford stacks over $\C$. As an application, we prove the Grothendieck-Rieman…