Abstract
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 |
---|---|
Artikelnummer | 110284 |
Tidsskrift | Advances in Mathematics |
Vol/bind | 472 |
Antal sider | 24 |
ISSN | 0001-8708 |
DOI | |
Status | E-pub ahead of print - 25. apr. 2025 |
Emneord
- math.RT
- math.AG
- math.GT
- math.RA