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20072026
most citedA geometric model for the derived category of gentle algebras

43 citations · 116 across the 48 of their papers we have counts for

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Showing 2023 · math.RTShow all

5 papers · 2 filters

math.RT2023★ 1 cited

The Hochschild cohomology and the Tamarkin-Tsygan calculus of gentle algebras

Cristian Chaparro, Sibylle Schroll, Andrea Solotar +1

The Tamarkin Tsygan calculus of a finite dimensional algebra is a differential calculus given by the comprehensive data of the Hochschild cohomology, its structure both as a graded…

math.RT2023

A complete derived invariant and silting theory for graded gentle algebras

Haibo Jin, Sibylle Schroll, Zhengfang Wang

We confirm a conjecture by Lekili and Polishchuk that the geometric invariants which they construct for homologically smooth graded (not necessarily proper) gentle algebras form a…

math.RT2023

A geometric perspective on the -cluster morphism category

Sibylle Schroll, Aran Tattar, Hipolito Treffinger +1

We show how the -cluster morphism category may be defined in terms of the wall-and-chamber structure of an algebra. This geometric perspective leads to a simplified proof that t…

math.RT2023

The Commuting Algebra

Edward L. Green, Sibylle Schroll

Let be a path algebra, where is a finite quiver and is a field. We study where is the two-sided ideal in generated by all differences of parallel paths…

math.RT2023★ 2 cited

Braid group actions on branched coverings and full exceptional sequences

Wen Chang, Fabian Haiden, Sibylle Schroll

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…