Open Gromov-Witten theory on Calabi-Yau three-folds II

Abstract

We propose a general theory of the Open Gromov-Witten invariant on Calabi-Yau three-folds. In this paper we construct the Open Gromov-Witten potential. The evaluation of the potential on its critical points leads to numerical invariants.

arXiv commentImproved exposition. Added higher genus

References in corpus (7)

• Intersection theory on the moduli space of holomorphic curves with Lagrangian boundary conditions
• Chern-Simons Gauge Theory As A String Theory
• Moduli of J-Holomorphic Curves with Lagrangian Boundary Conditions and Open Gromov-Witten Invariants for an $S^1$-Equivariant Pair
• Renormalisation and the Batalin-Vilkovisky formalism
• Kuranishi homology and Kuranishi cohomology
• Frame ambiguity in Open Gromov-Witten invariants
• Master Equation and Perturbative Chern-Simons theory

Cited by in corpus (9)

• Point-like bounding chains in open Gromov-Witten theory
• Counting pseudo-holomorphic discs in Calabi-Yau 3 fold
• Frame ambiguity in Open Gromov-Witten invariants
• Open Virtual Structure Constants and Mirror Computation of Open Gromov-Witten Invariants of Projective Hypersurfaces
• Obstruction classes and Open Gromov-Witten invariants
• Open Gromov-Witten theory without Obstruction
• Open Mirror Symmetry for Higher Dimensional Calabi-Yau Hypersurfaces
• Kontsevich-Soibelman Wall Crossing Formula and Holomorphic Disks
• Open Gromov-Witten invariants and Boundary States