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August 9, 2021 17:30–18:00, Теория узлов, Sochi
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Гордиевы графы преобразований узлов
A. Yu. Miller
Euler International Mathematical Institute, St. Petersburg
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Website:
https://talantiuspeh.webex.com/talantiuspeh-ru/j.php?MTID=m12b58ad1f14d7a9bb870e0bc3a71ff2c
References
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Yu. S. Belousov, M. V. Karev, A. V. Malyutin, A. Yu. Miller, E. A. Fominykh, “Lerneiskie uzly i vlozhennye perestroiki”, Algebra i analiz, 33:1 (2021), 30–66
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R. Blair, M. Campisi, J. Johnson, S. A. Taylor, M. Tomova, “Neighbors of knots in the Gordian graph”, Amer. Math. Monthly, 124:1 (2017), 4–23
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S. Jabuka, B. Liu, A. H. Moore, Knot graphs and Gromov hyperbolicity, 2019, arXiv: 1912.03766
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J. Hoste, Y. Nakanishi, K. Taniyama, “Unknotting operations involving trivial tangles”, Osaka J. Math., 27:3 (1990), 555–566
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W. B. R. Lickorish, “The unknotting number of a classical knot”, Combinatorial methods in topology and algebraic geometry, Rochester, N.Y., 1982, 117–121
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H. Murakami, “Some metrics on classical knots”, Math. Ann., 270:1 (1985), 35–45
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H. Murakami, Y. Nakanishi, “On a certain move generating link-homology”, Math. Ann., 284:1 (1989), 75–89
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J. H. Przytycki, “$t-k$ moves on links”, Braids, (Santa Cruz, CA, 1986), Contemp. Math., 78, Amer. Math. Soc., Providence, RI, 1988, 615–656
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