A contamination carrying criterion for branched surfaces

Ulrich Oertel, Jacek Świa̧tkowski

Research output: Contribution to journalArticlepeer-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 languageEnglish (US)
Pages (from-to)135-152
Number of pages18
JournalAnnals of Global Analysis and Geometry
Volume34
Issue number2
DOIs
StatePublished - Sep 1 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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