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math.SG2025
Point-like non-commutative families of bounding cochains
Elad Kosloff, Jake P. Solomon
We define genus zero open Gromov-Witten invariants with boundary and interior constraints for a Lagrangian submanifold of arbitrary even dimension. The definition relies on constru…
math.SG2025
Differential forms, open-closed maps, and Gromov-Witten axioms
Pavel Giterman, Jake P. Solomon, Sara B. Tukachinsky
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…