Immersed circles in punctured surfaces yield A_infinity algebras via Gauss words and bounded polygons that realize all but one associative algebra of dimension ≤4 over algebraically closed fields as degree-zero endomorphism algebras in relative Fukaya categories.
Seshadri, Fibr´ es vectoriels sur les courbes alg´ ebriques, Ast´ erisque, tome 96 (1982)
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Curves on surfaces and moduli of associative algebras
Immersed circles in punctured surfaces yield A_infinity algebras via Gauss words and bounded polygons that realize all but one associative algebra of dimension ≤4 over algebraically closed fields as degree-zero endomorphism algebras in relative Fukaya categories.