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

Naichung Conan Leung·Xiaowei Wang
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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.

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Naichung Conan Leung, Xiaowei Wang. 2004-01-29. Intersection theory of coassociative submanifolds in G_(2)-manifolds and Seiberg-Witten invariants. https://arxiv.org/abs/math/0401419

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