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Taut foliations in punctured surface bundles, I
Author(s) -
Roberts Rachel
Publication year - 2001
Publication title -
proceedings of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.899
H-Index - 65
eISSN - 1460-244X
pISSN - 0024-6115
DOI - 10.1112/plms/82.3.747
Subject(s) - mathematics , fibration , fibered knot , euler characteristic , boundary (topology) , pure mathematics , surface (topology) , mathematics subject classification , manifold (fluid mechanics) , mathematical analysis , topology (electrical circuits) , geometry , combinatorics , homotopy , mechanical engineering , engineering
Given a fibred, compact, orientable 3‐manifold with single boundary component, we show that a fibration with fiber surface of negative Euler characteristic can be perturbed to yield taut foliations realizing an open interval of boundary slopes about the boundary slope of the fibration. These taut foliations extend to taut foliations in the corresponding surgery manifolds. 2000 Mathematics Subject Classification : primary 57M25; secondary 57R30.