Local solution to the $G_{2}-$monopole equation with prescribed tangent cone and $G_{2}-$structure

Yuanqi Wang

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arXiv · 1603.00986

Local solution to the $G_{2}-$monopole equation with prescribed tangent cone and $G_{2}-$structure

Yuanqi Wang

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Abstract

For any locally defined $G_{2}-$structure and Hermitian-Yang-Mills connection on $S^{6}$, the $G_{2}-$monopole equation always admits a local solution that is asymptotic to the HYM-connection.

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Yuanqi Wang. 2016-03-03. Local solution to the $G_{2}-$monopole equation with prescribed tangent cone and $G_{2}-$structure. https://arxiv.org/abs/1603.00986

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