Abstrakt
We relate full exceptional sequences in Fukaya categories of surfaces or equivalently in derived categories of graded gentle algebras to branched coverings over the disk, building on a previous classification result of the first and third author. This allows us to apply tools from the theory of branched coverings such as Birman--Hilden theory and Hurwitz systems to study the natural braid group action on exceptional sequences. As an application, counterexamples are given to a conjecture of Bondal--Polishchuk on the transitivity of the braid group action on full exceptional sequences in a triangulated category.
Originalsprog | Engelsk |
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Udgivelsessted | Cornell University |
Udgiver | arXiv.org |
Antal sider | 1 |
DOI | |
Status | Udgivet - 11. jan. 2023 |
Emneord
- math.RT
- math.AG
- math.GT
- math.RA