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BIRS Workshop Lecture Videos

Bogomolny Equations on R3 with a Knot Singularity Sun, Weifeng


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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