The Morse-Novikov number of knots under connected sum and cabling

Abstract

We show the Morse-Novikov number of knots in $S^3$ is additive under connected sum and unchanged by cabling.

The paper has been accepted for publication by the Journal of Topology

References in corpus (2)

• Knot Floer homology detects fibred knots
• Twisted Novikov homology and circle-valued Morse theory for knots and links