Premium
Spherical Monopoles and Holomorphic Functions
Author(s) -
Pauly Marc
Publication year - 2001
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/33.1.83
Subject(s) - holomorphic function , geodesic , mathematics , magnetic monopole , pure mathematics , equivalence (formal languages) , metric (unit) , class (philosophy) , space (punctuation) , mathematical physics , mathematical analysis , physics , quantum mechanics , computer science , operations management , artificial intelligence , economics , operating system
We show that any gauge‐equivalence class of solutions (∇, Φ) of the monopole equation F ∇ = * d ∇ Φ, defined on an open set Ω of S 3 (equipped with its standard metric), induces canonically a holomorphic function on the complex 2‐dimensional space of all geodesics on S 3 entirely contained in Ω.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom