18 citations · 49 across the 8 of their papers we have counts for
8 papers
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…
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…
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…
Open Gromov-Witten theory for cohomologically incompressible Lagrangians
Sara B. Tukachinsky
This paper classifies separated bounding pairs for Lagrangian submanifolds that are homologically trivial inside the ambient space, under the assumption that restriction on cohomol…
Differential forms on orbifolds with corners
Jake P. Solomon, Sara B. Tukachinsky
Motivated by symplectic geometry, we give a detailed account of differential forms and currents on orbifolds with corners, the pull-back and push-forward operations, and their fund…
Relative quantum cohomology
Jake P. Solomon, Sara B. Tukachinsky
We establish a system of PDE, called open WDVV, that constrains the bulk-deformed superpotential and associated open Gromov-Witten invariants of a Lagrangian submanifold $L \subset…
Point-like bounding chains in open Gromov-Witten theory
Jake P. Solomon, Sara B. Tukachinsky
We present a solution to the problem of defining genus zero open Gromov-Witten invariants with boundary constraints for a Lagrangian submanifold of arbitrary dimension. Previously,…
Differential forms, Fukaya algebras, and Gromov-Witten axioms
Jake P. Solomon, Sara B. Tukachinsky
Consider the differential forms on a Lagrangian submanifold . Following ideas of Fukaya-Oh-Ohta-Ono, we construct a family of cyclic unital curved …