Surfaces in the figure-8 knot complement

Authors
Aitchison, IR Matsumoto, S Rubinstein, JH
Citation
Ir. Aitchison et al., Surfaces in the figure-8 knot complement, J KNOT TH R, 7(8), 1998, pp. 1005-1025
Citations number
20
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS
ISSN journal
02182165 → ACNP
Volume
7
Issue
8
Year of publication
1998
Pages
1005 - 1025
Database
ISI
SICI code
0218-2165(199812)7:8<1005:SITFKC>2.0.ZU;2-0
Abstract
We examine various closed normal surfaces immersed in the triangulated figu re-8 knot complement. We give some conditions for surfaces to be regular (w ithout branch points) and a sufficient condition for compressibility. We en d with a criterion for incompressibility of normal surfaces in cubed 3-mani folds.