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Measured foliations and handlebodies

Published online by Cambridge University Press:  19 September 2008

Howard Masur
Affiliation:
Department of Mathematics, University of Illinois, Chicago, IL 60680, USA
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Abstract

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We consider the action of the subgroup of the mapping class group consisting of homeomorphisms that extend to the handlebody on Thurston's sphere of measured foliations. Properties of the limit set and domain of discontinuity are described and for genus two it is shown the limit set has measure zero.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1986

References

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