Jake P. Solomon

activity

20062026

most citedIntersection theory on the moduli space of holomorphic curves with Lagrangian boundary conditions

126 citations · 602 across the 33 of their papers we have counts for

collaborators

Showing math.SGShow all

27 papers · 1 filter

math.SG2026

Quantization of positive Lagrangians

Jake P. Solomon, Bentzion Yavetz

A Lagrangian submanifold in an almost Calabi-Yau manifold is called positive if the real part of the holomorphic volume form restricted to it is positive. It is called $ε$ -positive…

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 $A_{\infty}$ algebra of a Lagrangian submanifold modeled on differential forms. The…

math.SG2024

Numerical invariants of normed matrix factorizations

May Sela, Jake P. Solomon

We define a normed matrix factorization category and a notion of bounding cochains for objects of this category. We classify bounding cochains up to gauge equivalence for spherical…

math.SG2023★ 1 cited

Relative quantum cohomology of the Chiang Lagrangian

Anna Hollands, Elad Kosloff, May Sela +2

We compute the open Gromov-Witten disk invariants and the relative quantum cohomology of the Chiang Lagrangian $L_{△} \subset C P^{3}$ . Since $L_{△}$ is not fixed…

math.SG2022

The Fukaya $A_{\infty}$ algebra of a non-orientable Lagrangian

Or Kedar, Jake P. Solomon

Let $L \subset X$ be a not necessarily orientable relatively $P in$ Lagrangian submanifold in a symplectic manifold $X$ . We construct a family of cyclic unital curved $A_{\infty}$ stru…