Combinatorial volume preserving flows and taut foliations

David Gabai

doi:10.1007/s000140050114

Combinatorial volume preserving flows and taut foliations

David Gabai

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

10 Scopus citations

Abstract

A π₁-injective closed surface in an orientable 3-manifold with a tangentially smooth, transversely C⁰ taut foliation can be homotoped to an immersed surface which is either transverse to the foliation except at isolated saddle tangencies or mapped into a leaf.

Original language	English (US)
Pages (from-to)	109-124
Number of pages	16
Journal	Commentarii Mathematici Helvetici
Volume	75
Issue number	1
DOIs	https://doi.org/10.1007/s000140050114
State	Published - 2000
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

Combinatorial volume preserving flow
Normal surface
Taut foliation

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10.1007/s000140050114

Cite this

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title = "Combinatorial volume preserving flows and taut foliations",

abstract = "A π1-injective closed surface in an orientable 3-manifold with a tangentially smooth, transversely C0 taut foliation can be homotoped to an immersed surface which is either transverse to the foliation except at isolated saddle tangencies or mapped into a leaf.",

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journal = "Commentarii Mathematici Helvetici",

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AB - A π1-injective closed surface in an orientable 3-manifold with a tangentially smooth, transversely C0 taut foliation can be homotoped to an immersed surface which is either transverse to the foliation except at isolated saddle tangencies or mapped into a leaf.

KW - Combinatorial volume preserving flow

KW - Normal surface

KW - Taut foliation

UR - https://www.scopus.com/pages/publications/0011879217

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U2 - 10.1007/s000140050114

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JO - Commentarii Mathematici Helvetici

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Combinatorial volume preserving flows and taut foliations

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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