Framing functions and strengthened version of Dehn's lemma
Tetsuya Ito
TL;DR
This paper provides a lower bound for the framing function of knots and proves a strengthened version of Dehn's lemma, advancing understanding in knot theory and 3-manifold topology.
Contribution
It introduces a new lower estimate for the framing function and confirms a conjecture by Greene-Wiest, strengthening Dehn's lemma.
Findings
Established a lower bound for the framing function of knots
Proved a strengthened version of Dehn's lemma
Confirmed Greene-Wiest conjecture
Abstract
We give a lower estimate of the framing function of knots, and prove a strengthened version of Dehn's lemma conjectured by Greene-Wiest.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Advanced Combinatorial Mathematics