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• W3188444170 abstract "Experimental data from Dunfield et al. using random grid diagrams suggest that the genus of a knot grows linearly with respect to the crossing number. Using billiard table diagrams of Chebyshev knots developed by Koseleff and Pecker and a random model of 2-bridge knots via these diagrams developed by the author with Krishnan and then with Even-Zohar and Krishnan, we introduce a further-truncated model of all 2-bridge knots of a given crossing number, almost all counted twice. We present a convenient way to count Seifert circles in this model and use this to compute a lower bound for the average Seifert genus of a 2-bridge knot of a given crossing number." @default.
• W3188444170 created "2021-08-16" @default.
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• W3188444170 date "2023-08-01" @default.
• W3188444170 modified "2023-09-27" @default.
• W3188444170 title "A lower bound on the average genus of a 2-bridge knot" @default.
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• W3188444170 doi "https://doi.org/10.1142/s0218216523500554" @default.
• W3188444170 hasPublicationYear "2023" @default.
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