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• W3080725410 abstract "Abstract We study compact hyperbolic surface laminations. These are a generalisation of closed hyperbolic surfaces, which appear to be more suited to the study of Teichmüller theory than arbitrary non-compact surfaces. We show that the Teichmüller space of any non-trivial hyperbolic surface lamination is infinite dimensional. In order to prove this result, we study the theory of deformations of hyperbolic surfaces, and we derive a new formula for the derivative of the length of a simple closed geodesic with respect to the action of grafting. This formula complements those derived by McMullen [ 24], in terms of the Weil–Petersson metric, and by Wolpert [ 34], for the case of earthquakes." @default.
• W3080725410 created "2020-09-01" @default.
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• W3080725410 date "2020-08-20" @default.
• W3080725410 modified "2023-10-17" @default.
• W3080725410 title "Earthquakes and Graftings of Hyperbolic Surface laminations" @default.
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• W3080725410 doi "https://doi.org/10.1093/imrn/rnaa214" @default.
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