On compressing discs of torus knots

Authors
Greene, MT Wiest, B
Citation
Mt. Greene et B. Wiest, On compressing discs of torus knots, Q J MATH, 52, 2001, pp. 25-32
Citations number
4
Categorie Soggetti
Mathematics
Journal title
QUARTERLY JOURNAL OF MATHEMATICS
ISSN journal
00335606 → ACNP
Volume
52
Year of publication
2001
Part
1
Pages
25 - 32
Database
ISI
SICI code
0033-5606(200103)52:<25:OCDOTK>2.0.ZU;2-7
Abstract
We prove that every compressing disc of a (2n + 1, 2)-torus knot has at lea st 2n negative intersections with the knot; this implies that, in the langu age of [2], the natural framing is -2n. The proof uses an explicit and elem entary simplification procedure for compressing discs.