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math.GTJan 1, 2020
1
citations (OpenAlex)
authors
  • Kenneth L. Baker
institutions
  • University of Miami
arXiv abstractPDF
paper

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

arXiv:2001.03587 · doi:10.1112/topo.12210

Abstract

We show the Morse-Novikov number of knots in S3 is additive under connected sum and unchanged by cabling.

arXiv commentThe paper has been accepted for publication by the Journal of Topology

References in corpus (11)

  • Heegaard Floer homology and alternating knots
  • Knot Floer homology detects fibred knots
  • Corrigendum to "Knot Floer homology detects fibred knots"
  • An algorithm to determine the Heegaard genus of simple 3-manifolds with non-empty boundary
  • Additive invariants for knots, links and graphs in 3-manifolds
  • Circular thin position for knots in the 3-sphere
  • On the tunnel number and the Morse-Novikov number of knots
  • Heegaard splittings of graph manifolds
  • Twisted Novikov homology and circle-valued Morse theory for knots and links
  • Additivity of Handle Number and Morse-Novikov Number of a-small Knots
  • Additivity of Circular Width
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