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Weinstein neighbourhood theorems for stratified subspaces
Yael Karshon, Sara B. Tukachinsky, Yoav Zimhony
By analogy with Weinstein's neighbourhood theorem, we prove a uniqueness result for symplectic neighbourhoods of a large family of stratified subspaces. This result generalizes exi…
WDVV-based recursion for open Gromov-Witten invariants
Roi Blumberg, Sara B. Tukachinsky
We give a computability result for open Gromov-Witten invariants based on open WDVV equations. This is analogous to the result of Kontsevich-Manin for closed Gromov-Witten invarian…
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…
Examples of relative quantum cohomology
Kai Hugtenburg, Sara B. Tukachinsky
We compute the quantum cohomology relative to a Lagrangian submanifold in some complete intersections. For quadric hypersurfaces, we also give a full computation of the genus zero…