Solomon-Tukachinsky's vs. Welschinger's Open Gromov-Witten Invariants of Symplectic Sixfolds

Abstract

Our previous paper describes a geometric translation of the construction of open Gromov-Witten invariants by J. Solomon and S. Tukachinsky from a perspective of $A_{\infty }$-algebras of differential forms. We now use this geometric perspective to show that these invariants reduce to Welschinger's open Gromov-Witten invariants in dimension 6, inline with their and G. Tian's expectations. As an immediate corollary, we obtain a translation of Solomon-Tukachinsky's open WDVV equations into relations for Welschinger's invariants.

22 pages; minor updates. arXiv admin note: text overlap with arXiv:1912.04119

References in corpus (3)

• Intersection theory on the moduli space of holomorphic curves with Lagrangian boundary conditions
• Relative quantum cohomology
• WDVV-Type Relations for Disk Gromov-Witten Invariants in Dimension 6

Cited by in corpus (1)

• Relative quantum cohomology of the Chiang Lagrangian