Differential forms, open-closed maps, and Gromov-Witten axioms
Symplectic Geometry
2025-09-09 v1 High Energy Physics - Theory
Algebraic Geometry
Abstract
We construct open-closed maps on various versions of Hochschild and cyclic homology of the Fukaya algebra of a Lagrangian submanifold modeled on differential forms. The 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.
Cite
@article{arxiv.2509.06034,
title = {Differential forms, open-closed maps, and Gromov-Witten axioms},
author = {Pavel Giterman and Jake P. Solomon and Sara B. Tukachinsky},
journal= {arXiv preprint arXiv:2509.06034},
year = {2025}
}
Comments
47 pages, 2 figures