126 citations · 602 across the 33 of their papers we have counts for
33 papers
Total Inner Products and Cyclic Chern-Simons Forms
Pavel Giterman, Jake P. Solomon
We introduce the notion of a total inner product on an -algebra, and a cyclic Chern-Simons form associated to a topologically nilpotent element. The total inner product a…
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…
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…
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…
A relative orientation for the moduli space of stable maps to a del Pezzo surface
Jesse Leo Kass, Marc Levine, Jake P. Solomon +1
We prove orientation results for evaluation maps of moduli spaces of rational stable maps to del Pezzo surfaces over a field, both in characteristic and in positive characteris…
A quadratically enriched count of rational curves
Jesse Leo Kass, Marc Levine, Jake P. Solomon +1
We define a quadratically enriched count of rational curves in a given divisor class passing through a collection of points on a del Pezzo surface of degree over a per…