9 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…
Special Lagrangian webbing
Jake P. Solomon, Amitai M. Yuval
We construct families of imaginary special Lagrangian cylinders near transverse Maslov index or intersection points of positive Lagrangian submanifolds in a general Calabi-…
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…
Geodesics of positive Lagrangians from special Lagrangians with boundary
Jake P. Solomon, Amitai M. Yuval
Geodesics in the space of positive Lagrangian submanifolds are solutions of a fully non-linear degenerate elliptic PDE. We show that a geodesic segment in the space of positive Lag…
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…
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…