Solutions of the Bogomolny Equation on R^3 with Certain Type of Knot Singularity I

Fuente: arXiv
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Autore principale: Sun, Weifeng
Natura: Preprint
Pubblicazione: 2020
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author Sun, Weifeng
author_facet Sun, Weifeng
contents Moduli space of the Bogomolny equation on R^3 with certain asymptotic conditions at infinity has been well studied for a long time. This paper studies the moduli space of solutions to the Bogomolny equation on R^3 with a knot singularity. The author hopes such kind of moduli spaces have potential applications in low-dimensional topology and knot theory in the future.
format Preprint
id arxiv_https___arxiv_org_abs_2011_07427
institution arXiv
publishDate 2020
record_format arxiv
spellingShingle Solutions of the Bogomolny Equation on R^3 with Certain Type of Knot Singularity I
Sun, Weifeng
Geometric Topology
Analysis of PDEs
Moduli space of the Bogomolny equation on R^3 with certain asymptotic conditions at infinity has been well studied for a long time. This paper studies the moduli space of solutions to the Bogomolny equation on R^3 with a knot singularity. The author hopes such kind of moduli spaces have potential applications in low-dimensional topology and knot theory in the future.
title Solutions of the Bogomolny Equation on R^3 with Certain Type of Knot Singularity I
topic Geometric Topology
Analysis of PDEs
url https://arxiv.org/abs/2011.07427