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Bogomolny Equations on R3 with a Knot Singularity

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Bogomolny Equations on R3 with a Knot Singularity
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12
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CC Attribution - NonCommercial - NoDerivatives 4.0 International:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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Release Date2021
LanguageEnglish

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Abstract
The moduli space of the Bogomolny Equations on R3 with certain asymptotic conditions has been fully studied by S.Donaldson, based on an algebraic geometry approach developed by N.Hitchin. An alternative analytical approach towards studying the moduli space was established by C.Taubes. An adaption of C.Taubes' method can also be used to study the moduli space of the Bogomolny equations on R3 with a knot singularity. Moreover, it is natural to ask, whether it is possible to study the equations with a knot singularity by algebraic geometry method If this is possible, then it may have the potential to bring knot theory into algebraic geometry.
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