5
IRUS TotalDownloads
Altmetric
K-theoretic and categorical properties of toric Deligne-Mumford stacks
| File | Description | Size | Format | |
|---|---|---|---|---|
 Properties_toricstacks_PAMQ_finalversion.pdf | Accepted version | 393.87 kB | Unknown | View/Open |
| Title: | K-theoretic and categorical properties of toric Deligne-Mumford stacks |
| Authors: | Coates, T Iritani, H Jiang, Y Segal, EP |
| Item Type: | Journal Article |
| Abstract: | We prove the following results for toric Deligne–Mumford stacks, under minimal compactness hypotheses: the Localization Theorem in equivariant KK-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: | 31-Dec-2015 |
| Date of Acceptance: | 12-Oct-2015 |
| URI: | http://hdl.handle.net/10044/1/31194 |
| DOI: | http://dx.doi.org/10.4310/PAMQ.2015.v11.n2.a3 |
| ISSN: | 1558-8599 |
| Publisher: | International Press of Boston |
| Start Page: | 239 |
| End Page: | 266 |
| Journal / Book Title: | Pure and Applied and Mathematics Quarterly |
| Volume: | 11 |
| Issue: | 2 |
| Copyright Statement: | © 2015 International Press of Boston, Inc. All rights reserved. |
| Sponsor/Funder: | The Royal Society Commission of the European Communities The Royal Society |
| Funder's Grant Number: | 516002.K5822/kk 240123 UF090056 |
| Keywords: | Science & Technology Physical Sciences Mathematics, Applied Mathematics Toric Deligne-Mumford stacks orbifolds K-theory localization derived category of coherent sheaves Fourier-Mukai transformation flop K-equivalence equivariant variation of GIT quotient RIEMANN-ROCH THEOREM GROUP SCHEME ACTIONS FORMULA INDEX RING General Mathematics Pure Mathematics Applied Mathematics |
| Publication Status: | Published |
| Appears in Collections: | Pure Mathematics Mathematics Faculty of Natural Sciences |