K-theoretic and categorical properties of toric Deligne-Mumford stacks
File(s)Properties_toricstacks_PAMQ_finalversion.pdf (393.87 KB)
Accepted version
Author(s)
Coates, T
Iritani, H
Jiang, Y
Segal, EP
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.
Date Issued
2015-12-31
Date Acceptance
2015-10-12
Citation
Pure and Applied and Mathematics Quarterly, 2015, 11 (2), pp.239-266
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
The Royal Society
Commission of the European Communities
The Royal Society
Grant Number
516002.K5822/kk
240123
UF090056
Subjects
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