Twisted homology cobordism invariants of knots in aspherical manifolds
Abstract
We fix a null-homologous, homotopically essential knot J in a 3-manifold with PTFA fundamental group and study concordance of knots that are homotopic to J. We construct an infinite family of knots that are characteristic to J, and then use L2-methods to show that they are not concordant to J.
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