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- Title
Quadratic differentials as stability conditions: Collapsing subsurfaces.
- Authors
Barbieri, Anna; Möller, Martin; Qiu, Yu; So, Jeonghoon
- Abstract
We introduce a new class of triangulated categories, which are Verdier quotients of three-Calabi–Yau categories from (decorated) marked surfaces, and show that its spaces of stability conditions can be identified with moduli spaces of framed quadratic differentials on Riemann surfaces with arbitrary order zeros and arbitrary higher order poles. A main tool in our proof is a comparison of two exchange graphs, obtained by tilting hearts in the quotient categories and by flipping mixed angulations associated with the quadratic differentials.
- Subjects
TRIANGULATED categories; RIEMANN surfaces; QUADRATIC differentials
- Publication
Journal für die Reine und Angewandte Mathematik, 2024, Vol 2024, Issue 810, p49
- ISSN
0075-4102
- Publication type
Article
- DOI
10.1515/crelle-2024-0005