Kontsevich-Soibelman Wall Crossing Formula and Holomorphic Disks

Abstract

We define rational numbers counting holomorphic disks bounding a complex lagrangian submanifold on a hyperkhaler manifold of real dimension four. We provide a simple a direct proof of Kontsevich-Soibelman Wall Crossing Formula for these rational invariants.

improved result

References in corpus (5)

• Stability structures, motivic Donaldson-Thomas invariants and cluster transformations
• Wall-Crossing in Coupled 2d-4d Systems
• Braids, Walls, and Mirrors
• Open Gromov-Witten theory on Calabi-Yau three-folds II
• Open Gromov-Witten theory without Obstruction

Cited by in corpus (1)

• Open Gromov-Witten invariants and Boundary States