Coates, T;
Iritani, H;
Jiang, Y;
Segal, E;
(2015)
K-Theoretic and Categorical Properties of Toric Deligne-Mumford Stacks.
Pure and Applied Mathematics Quarterly
, 11
(2)
pp. 239-266.
10.4310/PAMQ.2015.v11.n2.a3.
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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.
| Type: | Article |
|---|---|
| Title: | K-Theoretic and Categorical Properties of Toric Deligne-Mumford Stacks |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.4310/PAMQ.2015.v11.n2.a3 |
| Publisher version: | http://doi.org/10.4310/PAMQ.2015.v11.n2.a3 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | toric Deligne - Mumford stacks, orbifolds, KK-theory, localization, derived category of coherent sheaves, Fourier–Mukai transformation, flop, KK-equivalence, equivariant, variation of GIT quotient |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/1575881 |
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