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- W3125710083 abstract "Abstract Let S be a surface of genus g at least 2. A representation <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:mi>ρ</m:mi> <m:mo>:</m:mo> <m:msub> <m:mi>π</m:mi> <m:mn>1</m:mn> </m:msub> <m:mi>S</m:mi> <m:mo>→</m:mo> <m:mrow> <m:msub> <m:mrow> <m:mi>P</m:mi> <m:mi>S</m:mi> <m:mi>L</m:mi> </m:mrow> <m:mn>2</m:mn> </m:msub> <m:mrow> <m:mi>R</m:mi> </m:mrow> </m:mrow> </m:math> $ rho:pi_1 Sto{mathrm{PSL}_2mathbb{R}} $ is said to be purely hyperbolic if its image consists only of hyperbolic elements along with the identity. We may wonder under which conditions such representations arise as the holonomy of a branched hyperbolic structure on S . In this work we characterise them completely, giving necessary and sufficient conditions." @default.
- W3125710083 created "2021-02-01" @default.
- W3125710083 creator A5091396378 @default.
- W3125710083 date "2021-01-01" @default.
- W3125710083 modified "2023-09-25" @default.
- W3125710083 title "Geometrisation of purely hyperbolic representations in PSL2R$ {mathrm{PSL}_2mathbb{R}} $" @default.
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- W3125710083 doi "https://doi.org/10.1515/advgeom-2020-0025" @default.
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