Reduced Open Gromov-Witten Invariants on HyperKäher Manifolds

Abstract

We use the hyperKäler geometry define an disc-counting invariants with deformable boundary condition on hyperKähler manifolds. Unlike the reduced Gromov-Witten invariants, these invariants can have non-trivial wall-crossing phenomenon and are expected to be the generalized Donaldson-Thomas invariants in the construction of hyperKähler metric proposed by Gaiotto-Moore-Neitzke.

References in corpus (3)

• Mirror symmetry and T-duality in the complement of an anticanonical divisor
• Intersection theory on the moduli space of holomorphic curves with Lagrangian boundary conditions
• Cosmic String, Harvey-Moore Conjecture and Family Seiberg-Witten Theory