Twisted homology cobordism invariants of knots in aspherical manifolds

Details Twisted homology cobordism invariants of knots in aspherical manifolds Twisted homology cobordism invariants of knots in aspherical manifolds

2010-05-24

arxiv.org/abs/1005.4435v1

Mathematics

Geometric Topology

Scientific paper

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 $J$.

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