Open Access
Translator Disclaimer
2006 Surgery untying of coloured knots
Daniel Moskovich
Algebr. Geom. Topol. 6(2): 673-697 (2006). DOI: 10.2140/agt.2006.6.673

Abstract

For p=3 and for p=5 we prove that there are exactly p equivalence classes of p–coloured knots modulo ±1–framed surgeries along unknots in the kernel of a p–colouring. These equivalence classes are represented by connect-sums of n left-hand (p,2)–torus knots with a given colouring when n=1,2,,p. This gives a 3–colour and a 5–colour analogue of the surgery presentation of a knot.

Citation

Download Citation

Daniel Moskovich. "Surgery untying of coloured knots." Algebr. Geom. Topol. 6 (2) 673 - 697, 2006. https://doi.org/10.2140/agt.2006.6.673

Information

Received: 25 June 2005; Published: 2006
First available in Project Euclid: 20 December 2017

zbMATH: 1098.57007
MathSciNet: MR2240912
Digital Object Identifier: 10.2140/agt.2006.6.673

Subjects:
Primary: 57M25
Secondary: 57M10, 57M27

Rights: Copyright © 2006 Mathematical Sciences Publishers

JOURNAL ARTICLE
25 PAGES


SHARE
Vol.6 • No. 2 • 2006
MSP
Back to Top