Open Gromov-Witten Invariants

Sheldon Katz
University of Illinois at Urbana-Champaign

Evidence from string theory continues to accumulate suggesting the existence of enumerative invariants for J-holomorphic maps of bordered Riemann surfaces with Lagrangian boundary conditions. While it is still not clear how to rigorously define these invariants, some natural properties are presented, together with connections to/inspiration from string theory. These properties may be viewed as a preliminary version of a system of axioms for open Gromov-Witten invariants.

Back to Symplectic Geometry and Physics Workshop III: Symplectic Geometry and String Theory