Open Access
November 2013 Thin instantons in $G_2$-manifolds and Seiberg-Witten invariants
Naichung Conan Leung, Xiaowei Wang, Ke Zhu
J. Differential Geom. 95(3): 419-481 (November 2013). DOI: 10.4310/jdg/1381931735


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 $C$.


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Naichung Conan Leung. Xiaowei Wang. Ke Zhu. "Thin instantons in $G_2$-manifolds and Seiberg-Witten invariants." J. Differential Geom. 95 (3) 419 - 481, November 2013.


Published: November 2013
First available in Project Euclid: 16 October 2013

zbMATH: 1315.53056
MathSciNet: MR3128991
Digital Object Identifier: 10.4310/jdg/1381931735

Rights: Copyright © 2013 Lehigh University

Vol.95 • No. 3 • November 2013
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