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Satellites and concordance of knots in 3–manifolds

Friedl, Stefan ; Nagel, Matthias ; Orson, Patrick ; Powell, Mark



Abstract

Given a 3-manifold Y and a free homotopy class in [S-1, Y], we investigate the set of topological concordance classes of knots in Y x [0, 1] representing the given homotopy class. The concordance group of knots in the 3 sphere acts on this set. We show in many cases that the action is not transitive, using two techniques. Our first technique uses Reidemeister torsion invariants, and the second ...

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