Thin instantons in G_2-manifolds and Seiberg-Witten invariants

Details Thin instantons in G_2-manifolds and Seiberg-Witten invariants Thin instantons in G_2-manifolds and Seiberg-Witten invariants

2011-07-11

arxiv.org/abs/1107.1947v2

Mathematics

Differential Geometry

67 pages, expanded details and improved exposition, submitted version. arXiv admin note: substantial text overlap with arXiv:m

Scientific paper

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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