A contamination carrying criterion for branched surfaces

Ulrich Oertel; Jacek Świa̧tkowski

doi:10.1007/s10455-008-9107-y

A contamination carrying criterion for branched surfaces

Ulrich Oertel, Jacek Świa̧tkowski

Rutgers Newark, Math & Computer Science

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

2 Scopus citations

Abstract

A contamination in a 3-manifold is an object interpolating between the contact structure and the lamination. Contaminations seem to provide a link between 3-dimensional contact geometry and the classical topology of 3-manifolds, as described in a separate paper (Oertel and Świa̧ tkowski, Contact structures, σ-confoliations, and contaminations in 3-manifolds. arXiv math.GT/0307177). In this article we deal with contaminations carried by branched surfaces, giving a sufficient condition for a branched surface to carry a pure contamination.

Original language	English (US)
Pages (from-to)	135-152
Number of pages	18
Journal	Annals of Global Analysis and Geometry
Volume	34
Issue number	2
DOIs	https://doi.org/10.1007/s10455-008-9107-y
State	Published - Sep 2008

All Science Journal Classification (ASJC) codes

Analysis
Political Science and International Relations
Geometry and Topology

Keywords

Branched surface
Contact structure
Contamination

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10.1007/s10455-008-9107-y

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title = "A contamination carrying criterion for branched surfaces",

abstract = "A contamination in a 3-manifold is an object interpolating between the contact structure and the lamination. Contaminations seem to provide a link between 3-dimensional contact geometry and the classical topology of 3-manifolds, as described in a separate paper (Oertel and {\'S}wi{\c a} tkowski, Contact structures, σ-confoliations, and contaminations in 3-manifolds. arXiv math.GT/0307177). In this article we deal with contaminations carried by branched surfaces, giving a sufficient condition for a branched surface to carry a pure contamination.",

keywords = "Branched surface, Contact structure, Contamination",

author = "Ulrich Oertel and Jacek {\'S}wi{\c a}tkowski",

note = "Funding Information: Acknowledgements U. Oertel research supported by Max Planck Institute, Bonn; the National Science Foundation, Grant DMS 9803293. J. S´wia¸tkowski research supported by Max Planck Institute, Bonn; the National Science Foundation; and MNiSW Grants 2 P03A 017 25 and N201 012 32/0718.",

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doi = "10.1007/s10455-008-9107-y",

language = "English (US)",

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T1 - A contamination carrying criterion for branched surfaces

AU - Oertel, Ulrich

AU - Świa̧tkowski, Jacek

N1 - Funding Information: Acknowledgements U. Oertel research supported by Max Planck Institute, Bonn; the National Science Foundation, Grant DMS 9803293. J. S´wia¸tkowski research supported by Max Planck Institute, Bonn; the National Science Foundation; and MNiSW Grants 2 P03A 017 25 and N201 012 32/0718.

PY - 2008/9

Y1 - 2008/9

N2 - A contamination in a 3-manifold is an object interpolating between the contact structure and the lamination. Contaminations seem to provide a link between 3-dimensional contact geometry and the classical topology of 3-manifolds, as described in a separate paper (Oertel and Świa̧ tkowski, Contact structures, σ-confoliations, and contaminations in 3-manifolds. arXiv math.GT/0307177). In this article we deal with contaminations carried by branched surfaces, giving a sufficient condition for a branched surface to carry a pure contamination.

AB - A contamination in a 3-manifold is an object interpolating between the contact structure and the lamination. Contaminations seem to provide a link between 3-dimensional contact geometry and the classical topology of 3-manifolds, as described in a separate paper (Oertel and Świa̧ tkowski, Contact structures, σ-confoliations, and contaminations in 3-manifolds. arXiv math.GT/0307177). In this article we deal with contaminations carried by branched surfaces, giving a sufficient condition for a branched surface to carry a pure contamination.

KW - Branched surface

KW - Contact structure

KW - Contamination

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JO - Annals of Global Analysis and Geometry

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ER -

A contamination carrying criterion for branched surfaces

Abstract

All Science Journal Classification (ASJC) codes

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