A Counterexample to the Bernhard–Jablan Unknotting Conjecture

DOI10.1080/10586458.2019.1580633zbMath1480.57003arXiv1705.05985OpenAlexW2963457800WikidataQ123146581 ScholiaQ123146581MaRDI QIDQ3383702

Mark Brittenham, Susan M. Hermiller

Publication date: 16 December 2021

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.05985

zbMATH Keywords

unknotting numberknotscapeminimal crossing diagramsnappy

Mathematics Subject Classification ID

Knot theory (57K10)

Related Items (1)

The smooth 4-genus of (the rest of) the prime knots through 12 crossings

Cites Work

• Alternating knots with unknotting number one
• Knots with unknotting number one and Heegaard Floer homology
• The classification of alternating links
• A spanning tree expansion of the Jones polynomial
• State models and the Jones polynomial
• Jones polynomials and classical conjectures in knot theory
• The unknotting numbers of \(10_{139}\) and \(10_{152}\) are 4
• Gauge theory for embedded surfaces. I
• Polynomial values, the linking form and unknotting numbers
• The slicing number of a knot
• The unknotting number and classical invariants. I
• Unknotting information from Heegaard Floer homology
• Unknotting and maximum unknotting numbers
• Quasipositivity as an obstruction to sliceness
• A note on unknotting number
• On slicing invariants of knots
• Unknotting Information from 4-Manifolds
• Knots are Determined by Their Complements
• UNKNOTTING NUMBERS AND MINIMAL KNOT DIAGRAMS
• Two-Bridge Knots with Unknotting Number One
• UNLINKING NUMBER AND UNLINKING GAP
• On a Certain Numerical Invariant of Link Types
• On Calculating the Slice Genera of 11- and 12-Crossing Knots
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