THERE ARE INFINITELY MANY LISSAJOUS KNOTS

Authors
LAMM C
Citation
C. Lamm, THERE ARE INFINITELY MANY LISSAJOUS KNOTS, Manuscripta mathematica, 93(1), 1997, pp. 29-37
Citations number
12
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Manuscripta mathematica → ACNP
ISSN journal
00252611
Volume
93
Issue
1
Year of publication
1997
Pages
29 - 37
Database
ISI
SICI code
0025-2611(1997)93:1<29:TAIMLK>2.0.ZU;2-I
Abstract
It is shown that the Alexander polynomial of a Lissajous knot is a squ are module 2. This excludes many knots from being Lissajous, e.g. alge braic knots. On the other hand, we find infinitely many Lissajous knot s.