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On translation lengths of Anosov maps on the curve graph of the torus
Authors:Baik  Hyungryul  Kim  Changsub  Kwak  Sanghoon  Shin  Hyunshik
Institution:1.Department of Mathematical Sciences, KAIST, 291 Daehak-ro Yuseong-gu, Daejeon, 34141, Republic of Korea
;2.Department of Mathematics, University of Utah, 155 South 1400 East, JWB 233, Salt Lake City, UT, 84112, USA
;3.Department of Mathematics, University of Georgia, Athens, GA, 30602, USA
;
Abstract:Geometriae Dedicata - We show that an Anosov map has a geodesic axis on the curve graph of the torus. The direct corollary of our result is the stable translation length of an Anosov map on the...
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