Quadratic differentials as stability conditions

By T. Bridgeland, I. Smith. Publications mathématiques (Bures-sur-Yvette), 2013

246 citations recorded by the source corpus.

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.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/e532265a464a3f0c774fedd8a631e7545eb54ddf

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. I. Smith
2. M. Abouzaid
3. P. Seidel
4. D. Auroux
5. Ben Webster
6. Yankı Lekili
7. A. Kislev
8. E. Shelukhin

In Mathematical Physics

1. I. Smith
2. M. Abouzaid
3. P. Seidel
4. D. Auroux
5. Ben Webster
6. Yankı Lekili
7. A. Kislev
8. E. Shelukhin

Citations in the corpus

• Flat surfaces and stability structures (2014, unknown): “Comparison with the work of Bridgeland–Smith . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .”
• Quiver algebras as Fukaya categories (2013, methodology): “Together with the main results of Bridgeland and the author [5], we therefore obtain computations of spaces of stability conditions on (distinguished subcategories of) Fukaya categories of symplectic six-manifolds.”