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CALCULATION OF DIHEDRAL QUANDLE COCYCLE INVARIANTS OF TWIST SPUN 2-BRIDGE KNOTS.

Authors :
Iwakiri, Masahide
Source :
Journal of Knot Theory & Its Ramifications. Mar2005, Vol. 14 Issue 2, p217-229. 13p.
Publication Year :
2005

Abstract

Carter, Jelsovsky, Kamada, Langford and Saito introduced the quandle cocycle invariants of 2-knots, and calculated the cocycle invariant of a 2-twist-spun trefoil knot associated with a 3-cocycle of the dihedral quandle of order 3. Asami and Satoh calculated the cocycle invariants of twist-spun torus knots τrT(m,n) associated with 3-cocycles of some dihedral quandles. They used tangle diagrams of the torus knots. In this paper, we calculate the cocycle invariants of twist-spun 2-bridge knots τrS(α,β) by a similar method. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
02182165
Volume :
14
Issue :
2
Database :
Academic Search Index
Journal :
Journal of Knot Theory & Its Ramifications
Publication Type :
Academic Journal
Accession number :
16298037
Full Text :
https://doi.org/10.1142/S0218216505003798