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A Direct Existence Proof for the Vortex Equations Over a Compact Riemann Surface
Author(s) -
GarcíaPrada Oscar
Publication year - 1994
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/26.1.88
Subject(s) - mathematics , vortex , riemann surface , compact riemann surface , interpretation (philosophy) , mathematical analysis , surface (topology) , moment (physics) , riemann hypothesis , direct proof , pure mathematics , classical mechanics , geometry , physics , mechanics , computer science , programming language
We give a direct proof of an existence theorem for the vortex equations over a compact Riemann surface, exploiting the interpretation of these equations in terms of moment maps.