학술
기타
Differential forms, open-closed maps, and Gromov-Witten axioms
arXiv Math
CC BY
이 매체는 공공·자유 라이선스로 본문을 직접 표시합니다.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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