On the tunnel number and the Morse-Novikov number of knots
A. Pajitnov
TL;DR
This paper establishes a mathematical inequality linking the Morse-Novikov number and the tunnel number of links in a 3-sphere, providing insights into knot complexity measures.
Contribution
It proves that the Morse-Novikov number of a link is at most twice its tunnel number, connecting two important knot invariants.
Findings
Morse-Novikov number ≤ 2 × tunnel number for links in 3-sphere
Provides a bound relating two knot invariants
Enhances understanding of link complexity measures
Abstract
We prove that the Morse-Novikov number of a link L in a 3-sphere is less than or equal to twice the tunnel number of L.
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