Suciu's ribbon 2-knots with isomorphic group

Taizo Kanenobu, Toshio Sumi

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish
Article number2050053
JournalJournal of Knot Theory and its Ramifications
Volume29
Issue number7
DOIs
Publication statusPublished - Jun 1 2020

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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