Minimal dilatations of pseudo-Anosovs generated by the magic 3–manifold and their asymptotic behavior

Algebraic Geometric Topology

Kin, Eiko²  Takasawa, Mitsuhiko³  Kojima, Sadayoshi¹ 

[1] Department of Math. and Computing Sciences, Tokyo Institute of Technology, Ohokayama, Meguro, Tokyo 152-8552, JapanDepartment of Math. and Computing Sciences, Tokyo Institute of Technology, Ohokayama, Meguro, Tokyo 152-8552, JapanDepartment of Math. and Computing Sciences, Tokyo Institute of Technology, Ohokayama, Meguro, Tokyo 152-8552, Japan;Department of Mathematics, Graduate School of Science, Osaka University, Toyonaka, Osaka 560-0043, JapanDepartment of Mathematics, Graduate School of Science, Osaka University, Toyonaka, Osaka 560-0043, JapanDepartment of Mathematics, Graduate School of Science, Osaka University, Toyonaka, Osaka 560-0043, Japan;Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Ohokayama, Meguro, Tokyo 152-8552, JapanDepartment of Mathematical and Computing Sciences, Tokyo Institute of Technology, Ohokayama, Meguro, Tokyo 152-8552, JapanDepartment of Mathematical and Computing Sciences, Tokyo Institute of Technology, Ohokayama, Meguro, Tokyo 152-8552, Japan

关键词: mapping class group;    pseudo-Anosov;    dilatation;    entropy;    hyperbolic volume;    fibered $3$–manifold;    magic manifold;   

DOI  :  10.2140/agt.2013.13.3537

来源: Mathematical Sciences Publishers-MSP

【 授权许可】

Unknown