Thin instantons in G₂-manifolds and Seiberg-Witten invariants

2011/07/11 by Naichung Conan Leung, Xiaowei Wang, Leung, Naichung Conan +3
Mathematics · #53C07 (Primary) 53D40 #81T30 (Secondary) #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds #Mathematical Physics (math-ph) #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.1107.1947

openalex publication_date 2011/07/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For two nearby disjoint coassociative submanifolds C and C' in a G₂-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.

Citations

• The structure of a symplectic manifold on the space of loops of 7-manifold
• Calibrated geometries

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