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We give parameterizations of homeomorphisms, quasisymmetric maps and symmetric maps of the unit circle in terms of shear coordinates for the Farey tesselation.
Šarić, Dragomir 1
@article{GT_2010_14_4_a15, author = {\v{S}ari\'c, Dragomir}, title = {Circle homeomorphisms and shears}, journal = {Geometry & topology}, pages = {2405--2430}, publisher = {mathdoc}, volume = {14}, number = {4}, year = {2010}, doi = {10.2140/gt.2010.14.2405}, url = {http://geodesic.mathdoc.fr/articles/10.2140/gt.2010.14.2405/} }
Šarić, Dragomir. Circle homeomorphisms and shears. Geometry & topology, Tome 14 (2010) no. 4, pp. 2405-2430. doi : 10.2140/gt.2010.14.2405. http://geodesic.mathdoc.fr/articles/10.2140/gt.2010.14.2405/
[1] Barycentric extensions of monotone maps of the circle, from: "In the tradition of Ahlfors and Bers, III" (editors W Abikoff, A Haas), Contemp. Math. 355, Amer. Math. Soc. (2004) 1
, , ,[2] Lectures on quasiconformal mappings, 10, Van Nostrand (1966)
,[3] Universal Teichmüller space, from: "Analytic methods in mathematical physics (Sympos., Indiana Univ., Bloomington, Ind., 1968)" (editors R P Gilbert, R G Newton), Gordon and Breach (1970) 65
,[4] Shearing hyperbolic surfaces, bending pleated surfaces and Thurston’s symplectic form, Ann. Fac. Sci. Toulouse Math. 5 (1996) 233
,[5] Conformally natural extension of homeomorphisms of the circle, Acta Math. 157 (1986) 23 | DOI
, ,[6] Asymptotic Teichmüller space. II. The metric structure, from: "In the tradition of Ahlfors and Bers, III" (editors W Abikoff, A Haas), Contemp. Math. 355, Amer. Math. Soc. (2004) 187
, , ,[7] Barycentric extension and the Bers embedding for asymptotic Teichmüller space, from: "Complex manifolds and hyperbolic geometry (Guanajuato, 2001)" (editors C J Earle, W J Harvey, S Recillas-Pishmish), Contemp. Math. 311, Amer. Math. Soc. (2002) 87
, , ,[8] Asymptotically affine and asymptotically conformal circle endomorphisms, from: "Infinite dimensional Teichmüller spaces and moduli spaces" (editor E Fujikawa), RIMS Kôkyûroku Bessatsu B17, RIMS (2010) 37
, ,[9] Quasiconformal Teichmüller theory, 76, Amer. Math. Soc. (2000)
, ,[10] Symmetric structures on a closed curve, Amer. J. Math. 114 (1992) 683 | DOI
, ,[11] Groups acting on the circle, Enseign. Math. 47 (2001) 329
,[12] Random ideal triangulations and the Weil–Petersson distance between finite degree covers of punctured Riemann surfaces
, ,[13] Quasisymmetric groups, J. Amer. Math. Soc. 19 (2006) 673 | DOI
,[14] The decorated Teichmüller space of punctured surfaces, Comm. Math. Phys. 113 (1987) 299
,[15] Universal constructions in Teichmüller theory, Adv. Math. 98 (1993) 143 | DOI
,[16] Minimal stretch maps between hyperbolic surfaces
,[17] Three-dimensional geometry and topology. Vol. 1, 35, Princeton Univ. Press (1997)
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