Intersection theory of coassociative submanifolds in G_(2)-manifolds and Seiberg-Witten invariants

Abstract

We study the problem of counting instantons with coassociative boundary condition in (almost) G_(2)-manifolds. This is analog to the open Gromov-Witten theory for counting holomorphic curves with Lagrangian boundary condition in Calabi-Yau manifolds. We explain its relationship with the Seiberg-Witten invariants for coassociative submanifolds.

arXiv comment18 pages

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Cited by in corpus (1)

• Deformations of associative submanifolds with boundary