Quadratic differentials as stability conditions
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Authors
Bridgeland, Tom
Smith, Ivan
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.
Description
This is the submitted version of the manuscript, prior to peer-review. The final version is available from Springer via http://dx.doi.org/10.1007/s10240-014-0066-5TI
The peer-reviewed, accepted manuscript (embargoed until 1 October 2015) is available in the repository at https://www.repository.cam.ac.uk/handle/1810/245896.
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Journal Title
Publications mathématiques de l'IHÉS
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Volume Title
121
Publisher
Springer
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Sponsorship
During the writing of this paper T.B. was supported by All Souls College, Oxford. I.S. was partially supported by a grant from the European Research Council.