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

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

2004-01-29

arxiv.org/abs/math/0401419v1

Mathematics

Differential Geometry

18 pages

Scientific paper

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.

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