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arXiv · 1412.2252

Monopoles on 3 dimensional AC manifolds

Goncalo Oliveira
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Abstract

We construct monopoles in any asymptotically conical (AC) $3$-manifold $X$ with $b^2(X)=0$. For sufficiently large mass, our construction covers an open set in the moduli space of monopoles. We also give a more general construction of Dirac monopoles in any AC manifold, which may be useful for generalizing our result to the case when $b^2(X) \neq 0$.

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Goncalo Oliveira. 2014-12-06. Monopoles on 3 dimensional AC manifolds. https://doi.org/10.1112/jlms%2Fjdw017

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