Combinatorial volume preserving flows and taut foliations

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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 languageEnglish (US)
Pages (from-to)109-124
Number of pages16
JournalCommentarii Mathematici Helvetici
Volume75
Issue number1
DOIs
StatePublished - 2000

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Keywords

  • Combinatorial volume preserving flow
  • Normal surface
  • Taut foliation

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