TY - JOUR
T1 - Classification of ribbon 2-knots presented by virtual arcs with up to four crossings
AU - Kanenobu, Taizo
AU - Sumi, Toshio
N1 - Funding Information:
The first author was partially supported by JSPS KAKENHI Grant Number JP17K05259. The second author was partially supported by JSPS KAKENHI Grant Number JP16K05151.
Publisher Copyright:
© 2019 World Scientific Publishing Company.
PY - 2019/9/1
Y1 - 2019/9/1
N2 - We consider classification of the oriented ribbon 2-knots presented by virtual arcs with up to four crossings. We show the difference by the 2-fold branched covering space, the Alexander polynomial, the number of representations of the knot group to SL(2,), a finite field, and the twisted Alexander polynomial.
AB - We consider classification of the oriented ribbon 2-knots presented by virtual arcs with up to four crossings. We show the difference by the 2-fold branched covering space, the Alexander polynomial, the number of representations of the knot group to SL(2,), a finite field, and the twisted Alexander polynomial.
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U2 - 10.1142/S0218216519500676
DO - 10.1142/S0218216519500676
M3 - Article
AN - SCOPUS:85071683553
SN - 0218-2165
VL - 28
JO - Journal of Knot Theory and its Ramifications
JF - Journal of Knot Theory and its Ramifications
IS - 10
M1 - 1950067
ER -