Bridgeland, T. and Smith, I. (2014) Quadratic differentials as stability conditions. Publications mathématiques de l'IHÉS. ISSN 0073-8301
Abstract
We prove that moduli spaces of meromorphic quadratic differentials with simple zeroes on compact Riemann surfaces can be identified with spaces of stability conditions on a class of CY3 triangulated categories defined using quivers with potential associated to triangulated surfaces. We relate the finite-length trajectories of such quadratic differentials to the stable objects of the corresponding stability condition.
Metadata
Item Type: | Article |
---|---|
Authors/Creators: |
|
Copyright, Publisher and Additional Information: | © 2014 Springer International Publishing. This is an author-produced version of a paper accepted for publication in Publications mathématiques de l'IHÉS. Uploaded in accordance with the publisher's self-archiving policy |
Keywords: | math.AG; math.AG; math.DS; math.RT; 14F05, 32G15 |
Dates: |
|
Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 26 Mar 2015 09:51 |
Last Modified: | 24 Nov 2015 07:10 |
Published Version: | http://dx.doi.org/10.1007/s10240-014-0066-5 |
Status: | Published |
Publisher: | Springer |
Refereed: | Yes |
Identification Number: | 10.1007/s10240-014-0066-5 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:84399 |