Partial compactification of monopoles and metric asymptotics

We construct a partial compactification of the moduli space, Mk, of SU(2) magnetic monopoles on R3, wherein monopoles of charge k decompose into widely separated 'monopole clusters' of lower charge going off to infinity at comparable rates. The hyperKahler metric on Mk has a complete asymp...

Description complète

Enregistré dans:
Détails bibliographiques
Auteurs principaux : Kottke Christopher (Auteur), Singer Michael F. (Auteur)
Format : Livre
Langue : anglais
Titre complet : Partial compactification of monopoles and metric asymptotics / Chris Kottke, Michael Singer
Publié : Providence (R.I.) : American Mathematical Society , 2022
Description matérielle : 1 vol. (VII-110 p.)
Collection : Memoirs of the American Mathematical Society ; 1383
Sujets :
Documents associés : Autre format: Partial compactification of monopoles and metric asymptotics
Description
Résumé : We construct a partial compactification of the moduli space, Mk, of SU(2) magnetic monopoles on R3, wherein monopoles of charge k decompose into widely separated 'monopole clusters' of lower charge going off to infinity at comparable rates. The hyperKahler metric on Mk has a complete asymptotic expansion up to the boundary, the leading term of which generalizes the asymptotic metric discovered by Bielawski, Gibbons and Manton when each lower charge is 1.
Notes : "November 2022, volume 280, number 1383 (sixth of 8 numbers)"
Bibliographie : Bibliogr. p. 109-110
ISBN : 978-1-4704-5541-5
1-4704-5541-2