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Curves on surfaces and moduli of associative algebras

math.SG · 2026-05-01 · unverdicted · novelty 7.0 · 2 refs

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.

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  • Curves on surfaces and moduli of associative algebras math.SG · 2026-05-01 · unverdicted · none · ref 5 · 2 links

    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.