K-Theoretic and Categorical Properties of Toric Deligne--Mumford Stacks

Published 30 Sep 2014 in math.AG | (1410.0027v3)

Abstract: We prove the following results for toric Deligne-Mumford stacks, under minimal compactness hypotheses: the Localization Theorem in equivariant K-theory; the equivariant Hirzebruch-Riemann-Roch theorem; the Fourier--Mukai transformation associated to a crepant toric wall-crossing gives an equivariant derived equivalence.

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