Alternation numbers of torus knots with small braid index
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Publication:4962379
DOI10.1512/iumj.2018.67.7302zbMath1401.57011arXiv1508.05825OpenAlexW1926468379WikidataQ129913601 ScholiaQ129913601MaRDI QIDQ4962379
Raphael Zentner, Simon Pohlmann, Peter Feller
Publication date: 2 November 2018
Published in: Indiana University Mathematics Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1508.05825
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Related Items (4)
The four-genus of connected sums of torus knots ⋮ The upsilon invariant at 1 of 3-braid knots ⋮ The Turaev genus of torus knots ⋮ Knot Floer homology and the unknotting number
Uses Software
Cites Work
- Khovanov homology and the slice genus
- A spectral sequence for Khovanov homology with an application to (3,q)-torus links
- On alternation numbers of links
- Upper bound for the alternation number of a torus knot
- A spanning tree expansion of the Jones polynomial
- State models and the Jones polynomial
- Homology of group systems with applications to knot theory
- Knot Floer homology and the four-ball genus
- Computations of the Ozsvath-Szabo knot concordance invariant
- Concordance homomorphisms from knot Floer homology
- Knot concordances and alternating knots
- Gordian adjacency for torus knots
- THE DEALTERNATING NUMBER AND THE ALTERNATION NUMBER OF A CLOSED 3-BRAID
- Spanning trees and Khovanov homology
- AN ESTIMATION OF THE ALTERNATION NUMBER OF A TORUS KNOT
- Jones polynomials and classical conjectures in knot theory. II
- Signatures of Covering Links
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