Thin instantons in G_2-manifolds and Seiberg-Witten invariants

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.

75 pages. Improved exposition. To appear in J. Diff. Geom. 2013

References in corpus (2)

• Mirror Symmetry and a $G_2$ Flop
• Deformations of associative submanifolds with boundary