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.
Seidel, Fukaya categories and Picard-Lefschetz theory, Zurich Lectures in Advanced Mathematics, Euro- pean Mathematical Society (EMS), Z¨ urich
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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.