A correspondence between rigid modules over path algebras and simple curves on Riemann surfaces
Representation Theory
2017-10-18 v3 Combinatorics
Rings and Algebras
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.
Cite
@article{arxiv.1703.09113,
title = {A correspondence between rigid modules over path algebras and simple curves on Riemann surfaces},
author = {Kyu-Hwan Lee and Kyungyong Lee},
journal= {arXiv preprint arXiv:1703.09113},
year = {2017}
}