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Pseudo-Anosov maps and simple closed curves on surfaces

Published online by Cambridge University Press:  01 March 2000

SHICHENG WANG ,
YING-QING WU  and
QING ZHOU
SHICHENG WANG
Affiliation:
Peking University, Beijing 100871, China; e-mail: [email protected]
YING-QING WU
Affiliation:
University of Iowa, Iowa City, IA 52242, U.S.A.; e-mail: [email protected]
QING ZHOU
Affiliation:
East China Normal University, Shanghei 200062, China; e-mail: [email protected]
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Abstract

Suppose [Cscr ] and [Cscr ]′ are two sets of simple closed curves on a hyperbolic surface F. We give necessary and sufficient conditions for the existence of a pseudo-Anosov map g such that g([Cscr ]) ≅ [Cscr ]′.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 128 , Issue 2 , March 2000 , pp. 321 - 326
Copyright
© The Cambridge Philosophical Society 2000

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