Intersection theory of coassociative submanifolds in G_(2)-manifolds and Seiberg-Witten invariants
classification
🧮 math.DG
math-phmath.MPmath.SG
keywords
coassociativemanifoldsboundaryconditioncountinginvariantsseiberg-wittensubmanifolds
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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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