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

preprint2016arXivOpen access

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

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Local solution to the G2−G_{2}-G2​−monopole equation with prescribed tangent cone and G2−G_{2}-G2​−structure

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