Pseudo-Anosov maps and surgery on fibred 2-bridge knots

David Gabai; William H. Kazez

doi:10.1016/0166-8641(90)90018-W

Pseudo-Anosov maps and surgery on fibred 2-bridge knots

David Gabai, William H. Kazez

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

Abstract

We study fibred knots by computing invariant laminations of the monodromy of the fibration and then computing the degeneracy type of the knot. We show that nontrivial surgery on a nontorus fibred 2-bridge knot yields a manifold whose universal cover is R³.

Original language	English (US)
Pages (from-to)	93-100
Number of pages	8
Journal	Topology and its Applications
Volume	37
Issue number	1
DOIs	https://doi.org/10.1016/0166-8641(90)90018-W
State	Published - Oct 1990
Externally published	Yes

All Science Journal Classification (ASJC) codes

Geometry and Topology

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10.1016/0166-8641(90)90018-W

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@article{19fce582d3fe42b2810fc95d3cb1ccdc,

title = "Pseudo-Anosov maps and surgery on fibred 2-bridge knots",

abstract = "We study fibred knots by computing invariant laminations of the monodromy of the fibration and then computing the degeneracy type of the knot. We show that nontrivial surgery on a nontorus fibred 2-bridge knot yields a manifold whose universal cover is R3.",

author = "David Gabai and Kazez, {William H.}",

note = "Funding Information: by grants from the National Science Foundation and Sloan Foundations. in part by a grant from the National Science Foundation.",

year = "1990",

month = oct,

doi = "10.1016/0166-8641(90)90018-W",

language = "English (US)",

volume = "37",

pages = "93--100",

journal = "Topology and its Applications",

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T1 - Pseudo-Anosov maps and surgery on fibred 2-bridge knots

AU - Gabai, David

AU - Kazez, William H.

N1 - Funding Information: by grants from the National Science Foundation and Sloan Foundations. in part by a grant from the National Science Foundation.

PY - 1990/10

Y1 - 1990/10

N2 - We study fibred knots by computing invariant laminations of the monodromy of the fibration and then computing the degeneracy type of the knot. We show that nontrivial surgery on a nontorus fibred 2-bridge knot yields a manifold whose universal cover is R3.

AB - We study fibred knots by computing invariant laminations of the monodromy of the fibration and then computing the degeneracy type of the knot. We show that nontrivial surgery on a nontorus fibred 2-bridge knot yields a manifold whose universal cover is R3.

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U2 - 10.1016/0166-8641(90)90018-W

DO - 10.1016/0166-8641(90)90018-W

M3 - Article

AN - SCOPUS:38249016321

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VL - 37

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JO - Topology and its Applications

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ER -

Pseudo-Anosov maps and surgery on fibred 2-bridge knots

Abstract

All Science Journal Classification (ASJC) codes

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