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Combinatorial volume preserving flows and taut foliations

Gabai, David (2000) Combinatorial volume preserving flows and taut foliations. Commetarii Mathematici Helvetici, 75 (1). pp. 109-124. ISSN 0010-2571. https://resolver.caltech.edu/CaltechAUTHORS:20200122-144403990

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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.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1007/s000140050114DOIArticle
Additional Information:© 2000 Birkhäuser Verlag, Basel. Published online: 2000-03-31. Partially supported by NSF Grant DMS-950523 and the MSRI. I want to thank Sergio Fenley for making me rethink about this problem and Will Kazez who suggested many improvements to the text. This work was completed while participating in MSRI's 1996/97 Low Dimensional Topology Program.
Funders:
Funding AgencyGrant Number
NSFDMS-950523
Mathematical Sciences Research Institute (MSRI)UNSPECIFIED
Subject Keywords:Taut foliation, combinatorial volume preserving flow, normal surface
Issue or Number:1
Classification Code:Mathematics Subject Classification (1991): Primary 57R30, Secondary 57M50.
Record Number:CaltechAUTHORS:20200122-144403990
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20200122-144403990
Official Citation:Gabai D.: Combinatorial volume preserving flows and taut foliations. Comment. Math. Helv. 75 (2000), 109-124. doi: 10.1007/s000140050114
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:100853
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:22 Jan 2020 23:01
Last Modified:22 Jan 2020 23:01

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