SU (2)-representation spaces for two-bridge knot groups.

Gerhard Burde

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A n-knot group is the fundamental group of the complement of an n-sphere smoothly embedded in Sⁿ⁺². Artin gave in 1925 ([A]) an algebraic characterization of 1-knot groups. M. Kervaire gave in 1965 ([K]) an algebraic characterization of n-knot groups for n ≥ 3. The problem of characterizing algebraically 2-knot groups has been posed several times (see for example [Su, Problem 4.7]). Ribbon 2-knot groups have been characterized algebraically by Yajima [Y]. ...