Mathematics > Symplectic Geometry
[Submitted on 7 Sep 2025
]
Title: Differential forms, open-closed maps, and Gromov-Witten axioms
Title: 微分形式，开-闭映射和格罗莫夫-温特公理
Abstract: We construct open-closed maps on various versions of Hochschild and cyclic homology of the Fukaya $A_\infty$ algebra of a Lagrangian submanifold modeled on differential forms. The $A_\infty$ 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.
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