Intersection theory of coassociative submanifolds in G_(2)-manifolds and Seiberg-Witten invariants

2004/01/29 by Naichung Conan Leung, Xiaowei Wang, Leung, Naichung Conan +1
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds #math-ph #math.DG #math.MP #math.SG

paper · pdf · doi:10.48550/arxiv.math/0401419

18 pages

arxiv created 2004/01/29 · arxiv updated 2009/12/01

Abstract

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.

Citations

• Calibrated geometries

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