Thin instantons in G_2-manifolds and Seiberg-Witten invariants

preprint2013arXivOpen access

Abstract

For two nearby disjoint coassociative submanifolds C and C' in a G_2-manifold, we construct thin instantons with boundaries lying on C and C' from regular J-holomorphic curves in C. We explain their relationship with the Seiberg-Witten invariants for C.

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