Journal article icon

Journal article

Taut ideal triangulations of 3-manifolds

Abstract:
A taut ideal triangulation of a 3-manifold is a topological ideal triangulation with extra combinatorial structure: a choice of transverse orientation on each ideal 2-simplex, satisfying two simple conditions. The aim of this paper is to demonstrate that taut ideal triangulations are very common, and that their behaviour is very similar to that of a taut foliation. For example, by studying normal surfaces in taut ideal triangulations, we give a new proof of Gabai's result that the singular genus of a knot in the 3-sphere is equal to its genus.
Publication status:
Published

Actions


Access Document


Publisher copy:
10.2140/gt.2000.4.369

Authors


More by this author
Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Journal:
Geom. Topol.
Volume:
4
Pages:
369-395
Publication date:
2000-03-22
DOI:
EISSN:
1364-0380
ISSN:
1465-3060
URN:
uuid:72afa412-ec59-477c-8e6c-5834a88328de
Source identifiers:
146953
Local pid:
pubs:146953
Language:
English
Keywords:

Terms of use


Metrics



If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP