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Incompressible surfaces in the exterior of a closed 3-braid

I. Surfaces with horizontal boundary components

Published online by Cambridge University Press:  24 October 2008

María Teresa Lozano
Facultad de Ciencias, Universidad de Zaragoza, Spain
Józef H. Przytycki
Department of Mathematics, University of Warsaw, Poland


Let be a closed 3-braid in S3 with axis Lγ. The exterior of γ U Lγ in S3 is a fibre bundle over S1 with fibre a disc with 3 holes. The monodromy is given by a matrix in PSL(2,) and the braid γ is called hyperbolic if its matrix is hyperbolic.

Research Article
Copyright © Cambridge Philosophical Society 1985

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