A lower bound on the average genus of a 2-bridge knot
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Publication:6056826
DOI10.1142/s0218216523500554arXiv2108.00563OpenAlexW3188444170WikidataQ123356301 ScholiaQ123356301MaRDI QIDQ6056826
Publication date: 4 October 2023
Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.00563
Cites Work
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- On a structure of random open books and closed braids
- Invariants of random knots and links
- Kauffman's clock lattice as a graph of perfect matchings: a formula for its height
- Random knots using Chebyshev billiard table diagrams
- The first rational Chebyshev knots
- The expected genus of a random chord diagram
- Random walks on the mapping class group
- Chebyshev diagrams for two-bridge knots
- Knoten mit zwei Brücken
- On the genus of the alternating knot. II
- Finite covers of random 3-manifolds
- On a surface formed by randomly gluing together polygonal discs
- Genus of alternating link types
- The distribution of knots in the Petaluma model
- Genera of two-bridge knots and epimorphisms of their knot groups
- Crossing numbers of random two-bridge knots
- Computing Chebyshev knot diagrams
- The genus of a random chord diagram is asymptotically normal
- Genus and Kauffman polynomial of a 2-bridge knot
- Über das Geschlecht von Knoten
- Embedding knots and links in an open book. I: Basic properties
- Filling random cycles
- Genericity of pseudo-Anosov mapping classes, when seen as mapping classes
- The topology and geometry of random square-tiled surfaces
- The lexicographic degree of the first two-bridge knots
- Lengths of closed geodesics on random surfaces of large genus
- A Reidemeister type theorem for petal diagrams of knots
- A combinatorial description of knot Floer homology
- A random link via bridge position is hyperbolic
- On combinatorial link Floer homology
- Random construction of Riemann surfaces
- A model for random three-manifolds
- Knot probabilities in random diagrams
- CHEBYSHEV KNOTS
- LISSAJOUS KNOTS
- Turning Knots into Flowers and Related Undergraduate Research
- Bridge spectra of cables of 2-bridge knots
- Exponential Torsion Growth for Random 3-Manifolds
- Poisson approximation of the length spectrum of random surfaces
- The Jones polynomials of three-bridge knots via Chebyshev knots and billiard table diagrams
- Bounds on übercrossing and petal numbers for knots
- Knot projections with a single multi-crossing
- Asymptotic laws for random knot diagrams
- The closure of a random braid is a hyperbolic link
- Arc-presentations of links: Monotonic simplification
- On the Question of Genericity of Hyperbolic Knots
- The average genus of oriented rational links with a given crossing number
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