A correspondence between rigid modules over path algebras and simple curves on Riemann surfaces

2017/03/27 by Lee, Kyu-Hwan, Lee, Kyungyong
#Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1703.09113

Abstract

We propose a conjectural correspondence between the set of rigid indecomposable modules over the path algebras of acyclic quivers and the set of certain non-self-intersecting curves on Riemann surfaces, and prove the correspondence for the 2-complete rank 3 quivers.

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