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• W2286974345 abstract "In dimension 7, we establish a Fredholm theory for a Dirac-type operator associated to a connection with point singularities. There are two applications. $1$. over a closed 7-manifold, under some natural conditions, a $G_{2}-$instanton and its point singularities can still be seen when the $G_{2}-$structure is properly perturbed. $2$. over a ball in $R^{7}$, for any almost-Euclidean $G_{2}-$structure, there exists a $G_{2}-$monopole asymptotic to an arbitrary Hermitian Yang-Mills connection on $S^{6}$." @default.
• W2286974345 created "2016-06-24" @default.
• W2286974345 creator A5026611037 @default.
• W2286974345 date "2016-02-18" @default.
• W2286974345 modified "2023-09-23" @default.
• W2286974345 title "Deformation of singular connections I: $G_{2}-$instantons with point singularities" @default.
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• W2286974345 doi "https://doi.org/10.48550/arxiv.1602.05701" @default.
• W2286974345 hasPublicationYear "2016" @default.
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