Thin instantons in G_2-manifolds and Seiberg-Witten invariants
Differential Geometry
2013-03-28 v4 Mathematical Physics
math.MP
Symplectic Geometry
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.
Keywords
Cite
@article{arxiv.1107.1947,
title = {Thin instantons in G_2-manifolds and Seiberg-Witten invariants},
author = {Naichung Conan Leung and Xiaowei Wang and Ke Zhu},
journal= {arXiv preprint arXiv:1107.1947},
year = {2013}
}
Comments
75 pages. Improved exposition. To appear in J. Diff. Geom. 2013