TY - JOUR
T1 - Suciu's ribbon 2-knots with isomorphic group
AU - Kanenobu, Taizo
AU - Sumi, Toshio
N1 - Funding Information:
The first author was partially supported by JSPS KAKENHI, Grant Number JS17K05259. This work was partially supported by Osaka City University Advanced Mathematical Institute (MEXT Joint Usage/Research Center on Mathematics and Theoretical Physics).
PY - 2020/6/1
Y1 - 2020/6/1
N2 - Suciu constructed infinitely many ribbon 2-knots in S4 whose knot groups are isomorphic to the trefoil knot group. They are distinguished by the second homotopy groups. We classify these knots by using SL(2,)-representations of the fundamental groups of the 2-fold branched covering spaces.
AB - Suciu constructed infinitely many ribbon 2-knots in S4 whose knot groups are isomorphic to the trefoil knot group. They are distinguished by the second homotopy groups. We classify these knots by using SL(2,)-representations of the fundamental groups of the 2-fold branched covering spaces.
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U2 - 10.1142/S0218216520500534
DO - 10.1142/S0218216520500534
M3 - Article
AN - SCOPUS:85090845565
SN - 0218-2165
VL - 29
JO - Journal of Knot Theory and its Ramifications
JF - Journal of Knot Theory and its Ramifications
IS - 7
M1 - 2050053
ER -