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

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Title: K-Theoretic and Categorical Properties of Toric Deligne--Mumford Stacks
Authors: Coates, T
Iritani, H
Jiang, Y
Segal, E
Item Type: Report
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.
Issue Date: 17-Apr-2015
30-Sep-2014
URI: http://hdl.handle.net/10044/1/21263
Copyright Statement: © 2014 The Authors
Notes: 14 pages, no figures. v2: references updated
Appears in Collections:Pure Mathematics
Mathematics



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