Moduli of curves as moduli of \(A_\infty\)-structures

DOI10.1215/00127094-2017-0019zbMath1401.14099arXiv1312.4636OpenAlexW3103007412MaRDI QIDQ1681613

Alexander Polishchuk

Publication date: 24 November 2017

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.4636

zbMATH Keywords

Hochschild cohomologydeformation theorymoduli space of curvesA-infinity-algebra

Mathematics Subject Classification ID

Related Items (9)

Arithmetic mirror symmetry for genus 1 curves with \(n\) marked points ⋮ Homological mirror symmetry for invertible polynomials in two variables ⋮ Birational models of \(\mathcal{M}_{2,2}\) arising as moduli of curves with nonspecial divisors ⋮ Moduli spaces of nonspecial pointed curves of arithmetic genus 1 ⋮ \(A_{\infty}\)-algebras associated with elliptic curves and Eisenstein-Kronecker series ⋮ Homological mirror symmetry for Milnor fibers via moduli of A∞$A_\infty$‐structures ⋮ 𝐴_{∞}-structures associated with pairs of 1-spherical objects and noncommutative orders over curves ⋮ Contracting the Weierstrass locus to a point ⋮ MODULI OF CURVES WITH NONSPECIAL DIVISORS AND RELATIVE MODULI OF -STRUCTURES

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