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A geometric model for the module category of a string algebra (2403.07810v1)
Published 12 Mar 2024 in math.RT and math.RA
Abstract: In this paper, we give a geometric construction of string algebras and of their module categories. Our approach uses dissections of punctured Riemann surfaces with extra data at marked points, called labels. As an application, we give a classification of support tau-tilting modules in terms of arcs in such a tiled surface. In the case when the string algebra is gentle, we recover the classification given arXiv:2004.11136.
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