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

Coates, T; Iritani, H; Jiang, Y; Segal, E

doi:https://doi.org/10.25561/21263

File(s)

1410.0027v2.pdf (244.61 KB)

Supporting information

Author(s)

Coates, T

Iritani, H

Jiang, Y

Segal, E

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.

Date Issued

2015-04-17T11:21:52Z

2014-09-30

URI

http://hdl.handle.net/10044/1/21263

DOI

https://doi.org/10.25561/21263

Copyright Statement

License URL

http://www.rioxx.net/licenses/all-rights-reserved

Description

1604.15 KB. Ok to add working paper to spiral, authors retain copyright

Identifier

http://arxiv.org/abs/1410.0027v2

Notes

14 pages, no figures. v2: references updated