Monopoles, braid groups, and the Dirac operator
type: Item
instance of: scholarly article
title: Monopoles, braid groups, and the Dirac operator
zbMATH Open document ID: 0818.58012
DOI: 10.1007/BF02108074
author: Ralph L. Cohen
author: John D. S. Jones
published in: Communications in Mathematical Physics
publication date: 1995-08-08T00:00:00Z
review text: Using the relation between the space of rational functions on \(\mathbb{C}\), the space of SU(2)-monopoles on \(\mathbb{R}^ 3\), and the classifying space of the braid group, the authors show how the index bundle of the family of real Dirac operators coupled to \(\text{SU}(2)\)-monopoles can be described using permutation representations of Artin's braid group.
Mathematics Subject Classification ID: 58E15
Mathematics Subject Classification ID: 81T13
Mathematics Subject Classification ID: 20F36
zbMATH DE Number: 490649
zbMATH Keywords: SU(2)-monopoles
zbMATH Keywords: braid group
zbMATH Keywords: Dirac operators
reviewed by: B. Nowak
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 490649