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 $L^2$-methods to show that they are not concordant to $J$.

References in corpus (1)

• $L^2$-signatures, homology localization, and amenable groups