Bogomolny equations on R^3 with a knot singularity

Bogomolny equations on R^3 with a knot singularity

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Weifeng Sun, Harvard University

Zoom link: https://princeton.zoom.us/j/453512481?pwd=OHZ5TUJvK2trVVlUVmJLZkhIRHFDUT09

The moduli space of Bogomolny equations on R^3 with certain asymptotic conditions was well studied in 1980s. I will briefly introduce the history of this study: Taubes' work, Hitchin's work and Donaldson's work. After that, I will introduce my recent result on the moduli space of the Bogomolny equations on R^3 with a knot singularity. This result is based on an adaption of Taubes' analytical method.