Differential forms, open-closed maps, and Gromov-Witten axioms

2025/09/07 by Pavel Giterman, Jake P. Solomon, Giterman, Pavel +3 · 1 voice
Mathematics · #Homotopy and Cohomology in Algebraic Topology #Advanced Topics in Algebra

paper · pdf · doi:10.48550/arxiv.2509.06034

Abstract

We construct open-closed maps on various versions of Hochschild and cyclic homology of the Fukaya A_∞ algebra of a Lagrangian submanifold modeled on differential forms. The A_∞ algebra may be curved. Properties analogous to Gromov-Witten axioms are verified. The paper is written with applications in mind to gravitational descendants and obstruction theory.

Discussions

• Pavel Giterman, Jake P. Solomon, Sara B. Tukachinsky: Differential forms, open-closed maps, and Gromov-Witten axioms https://arxiv.org/abs/2509.06034 https://arxiv.org/pdf/2509.06034 https://arxiv.org [bsky, 0 points, 0 comments]

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