INFINITELY MANY LATTICE SURFACES WITH SPECIAL PSEUDO-ANOSOV MAPS

被引：14

作者：

Calta, Kariane ^{[1
]}

Schmidt, Thomas A. ^{[2
]}

机构：

[1] Vassar Coll, Poughkeepsie, NY 12604 USA

[2] Oregon State Univ, Corvallis, OR 97331 USA

来源：

JOURNAL OF MODERN DYNAMICS | 2013年 / 7卷 / 02期

关键词：

Pseudo-Anosov; SAF invariant; flux; translation surface; Veech group; CONGRUENCE SUBGROUPS; CONTINUED FRACTIONS; TEICHMULLER CURVES; HECKE; BILLIARDS; ORBITS;

D O I：

10.3934/jmd.2013.7.239

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give explicit pseudo-Anosov homeomorphisms with vanishing Sah-Arnoux-Fathi invariant. Any translation surface whose Veech group is commensurable to any of a large class of triangle groups is shown to have an affine pseudo-Anosov homeomorphism of this type. We also apply a reduction to finite triangle groups and thereby show the existence of nonparabolic elements in the periodic field of certain translation surfaces.

引用

页码：239 / 254

页数：16

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