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On Jacobian algebras from closed surfaces

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arxiv 1207.3778 v1 pith:IGX2LCDM submitted 2012-07-16 math.RT math.COmath.RA

classification math.RTmath.COmath.RA
keywords algebrasjacobiansurfacesassociatedboundaryclosedcompletedempty
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We show that the quivers with potentials associated to ideal triangulations of marked surfaces with empty boundary are not rigid, and their completed Jacobian algebras are finite-dimensional and symmetric.

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  1. Calabi-Yau properties of ribbon graph orders

    math.RT 2019-08 conditional novelty 7.0 of 10

    Every ribbon graph order has a Nakayama automorphism making it twisted 1-Calabi-Yau, and it is symmetric, hence 1-Calabi-Yau, precisely when the ribbon graph is bipartite or the field has characteristic two.

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