Let M be an open Riemann surface with a finite set of punctures, a complete Poincar(?)-like metric is introduced near the punctures and the equivalence between the stability of an indecomposable parabolic Higgs bundle, and the existence of a Hermitian-Einstein metric on the bundle is established.
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Univ Calgary, Dept Math & Stat, 2500 Univ Dr NW, Calgary, AB T2N 1N4, CanadaUniv Calgary, Dept Math & Stat, 2500 Univ Dr NW, Calgary, AB T2N 1N4, Canada
Askaripour, Nadya
Boivin, Andre
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Univ Western Ontario, Middlesex Coll, Dept Math, London, ON N6A 5B7, CanadaUniv Calgary, Dept Math & Stat, 2500 Univ Dr NW, Calgary, AB T2N 1N4, Canada
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Univ Claude Bernard Lyon 1, Inst Camille Jordan, 43 Blvd 11 Novembre 1918, F-69622 Villeurbanne, FranceUniv Claude Bernard Lyon 1, Inst Camille Jordan, 43 Blvd 11 Novembre 1918, F-69622 Villeurbanne, France