All autoequivalences are spherical twists
File(s)all autoequivalences are spherical (revised).pdf (342.25 KB)
Accepted version
Author(s)
Segal, EP
Type
Journal Article
Abstract
In this short note, we observe that, for purely formal reasons, any autoequivalence can be constructed as a twist around a spherical functor. As an example, we show how the P-twists constructed by Huybrechts and Thomas can be formulated as spherical twists.
Date Issued
2018-05-01
Date Acceptance
2017-01-28
Citation
International Mathematics Research Notices, 2018, 2018 (10), pp.3137-3154
ISSN
1687-0247
Publisher
Oxford University Press (OUP)
Start Page
3137
End Page
3154
Journal / Book Title
International Mathematics Research Notices
Volume
2018
Issue
10
Copyright Statement
© The Author(s) 2017. Published by Oxford University Press. All rights reserved. This is a pre-copy-editing, author-produced PDF of an article accepted for publication in International Mathematics Research Notices following peer review. The definitive publisher-authenticated version is available at https://dx.doi.org/10.1093/imrn/rnw326
Subjects
math.AG
math.AG
math.CT
math.RA
14F05, 18E30
General Mathematics
0101 Pure Mathematics
Publication Status
Published
Date Publish Online
2017-01-28