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A geometric model for the module category of a gentle algebra

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Published
<mark>Journal publication date</mark>31/07/2021
<mark>Journal</mark>International Mathematics Research Notices
Issue number15
Volume2021
Number of pages36
Pages (from-to)11357-11392
Publication StatusPublished
Early online date31/07/19
<mark>Original language</mark>English

Abstract

In this article, gentle algebras are realised as tiling algebras, which are associated to partial triangulations of unpunctured surfaces with marked points on the boundary. This notion of tiling algebras generalise the notion of Jacobian algebras of triangulations of surfaces and the notion of surface algebras. We use this description to give a geometric model of the module category of any gentle algebra.