arXiv:1506.09066 Abstract | arXiv Analytics

arXiv:1506.09066 [math.DS]Abstract References Reviews Resources

Rotation number and lifts of a Fuchsian action of the modular group on the circle

Published 2015-06-30Version 1

We characterize the semi-conjugacy class of a Fuchsian action of the modular group on the circle in terms of rotation numbers of two standard generators and that of their product. We also show that among lifts of a Fuchsian action of the modular group, only 5-fold lift admits a similar characterization. These results indicate similarity and difference between rotation number and linear character.

Comments: 12 pages, to appear in Adv. Stud. Pure Math

Categories: math.DS, math.GR, math.GT

Subjects: 37E45, 37C85, 37E10

Keywords: rotation number, fuchsian action, modular group, semi-conjugacy class, similar characterization

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