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Dual Teichm\" uller spaces

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arxiv dg-ga/9702018 v3 pith:YDPUKNFP submitted 1997-02-20 dg-ga hep-thmath.DG

V.V.Fock (ITEP , Moscow) This is my paper · ORCID
classification dg-gahep-thmath.DG
keywords spacesteichmulleraboveapplicationapproachasymptoticallybriefly
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We describe in elementary geometrical terms Teichm\" uller spaces of decorated and holed surfaces. We construct explicit global coordinates on them as well as on the spaces of measured laminations with compact and closed support respectively. We show explicitly that the latter spaces are asymptotically isomorphic to the former. We discuss briefly quantisation of Teichm\" uller spaces and some other application of the constructed approach. The paper does not require any preliminary knowledge of the subject above the Poincar\' e uniformisation theorem.

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Cited by 8 Pith papers

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