Concordance invariance of Levine-Tristram signatures of links
Matthias Nagel, Mark Powell
TL;DR
This paper investigates the conditions under which the Levine-Tristram signatures and nullities serve as invariants under link concordance, clarifying their role in knot theory.
Contribution
It characterizes the specific complex numbers on the unit circle for which these signatures and nullities are concordance invariants.
Findings
Identifies the set of unit circle points where signatures are concordance invariants
Establishes nullity invariance conditions under concordance
Provides a framework for understanding signature invariance in link concordance
Abstract
We determine for which complex numbers on the unit circle the Levine-Tristram signature and the nullity give rise to link concordance invariants.
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