Thin instantons in G₂-manifolds and Seiberg-Witten invariants
classification
🧮 math.DG
math-phmath.MPmath.SG
keywords
instantonsinvariantsseiberg-wittenthinboundariescoassociativeconstructcurves
read the original 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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