Open Gromov-Witten Invariants for Even-Dimensional Lagrangians

I'll introduce the genus zero open Gromov-Witten invariants for even-dimensional Lagrangians. The definition relies on a canonical family of bounding cochains satisfying the point-like condition of Solomon-Tukachinsky, with non-commutative coefficients. In dimension two, these recover Welschinger's invariants. I'll also present computations for even dimensional quadric hypersurfaces, demonstrating that these invariants can be non-vanishing in high dimensions with multiple boundary constraints.

Date

Speakers

Elad Kosloff

Affiliation

Hebrew University of Jerusalem