논문KCI 등재
The amphicheiral 2-bridge knots with symmetric union presentations
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In this paper, we characterize amphicheiral 2-bridge knots with symmetric union presentations and show that there exist infinitely many amphicheiral 2-bridge knots with symmetric union presentations with two twist regions. We also show that there are no amphicheiral 3-stranded pretzel knots with symmetric union presentations.
Abstract
In this paper, we characterize amphicheiral 2-bridge knots with symmetric union presentations and show that there exist infinitely many amphicheiral 2-bridge knots with symmetric union presentations with two twist regions. We also show that there are no amphicheiral 3-stranded pretzel knots with symmetric union presentations.
참고문헌 (17)
- S. Baader, "Average four-genus of two-bridge knots", Proc. Amer. Math. Soc
- P. R. Cromwell, "Knots and Links" (2004), Cambridge Univ. Press
- M. Eisermann, "Equivalence of symmetric union diagrams", J. Knot Theory Ramifications, 16(7), pp.879~898 (2007)[DOI]
- J. Greene, "The slice-ribbon conjecture for 3-stranded pretzel knots", Amer. J. Math, 133(3), pp.555~580 (2011)[DOI]
- A. Juhasz, "Knot cobordisms, bridge index, and torsion in Floer homology", J. Topol, 13(4), pp.1701~1724 (2020)[DOI]
- L. H. Kauffman, "State models and the Jones polynomial", Topology, 26(3), pp.395~407 (1987)[DOI]
- A. Kawauchi, "A survey of knot theory, translated and revised from the 1990 Japanese original by the author" (1996), Birkhauser Verlag
- S. Kinoshita, "On unions of knots", Osaka Math. J, 9, pp.131~153 (1957)[DOI]
- "On amphichirality of symmetric unions" (2021)[URL]
- C. Lamm, "Symmetric unions and ribbon knots", Osaka J. Math, 37(3), pp.537~550 (2000)
- C. Lamm, "Symmetric union presentations for 2-bridge ribbon knots", J. Knot Theory Ramifications, 30(12, Paper No. 2141009), pp.11~ (2021)[DOI]
- C. Lamm, "The search for nonsymmetric ribbon knots", Exp. Math, 30(3), pp.349~363 (2021)[DOI]
- W. B. R. Lickorish, "An introduction to knot theory", Graduate Texts in Mathematics, 175 (1997)[DOI]
- P. Lisca, "rational balls and the ribbon conjecture", Geom. Topol, 11, pp.429~472 (2007)[DOI]
- C. Livingston, "KnotInfo: Table of Knot Invariants" (2023), knotinfo.math. indiana.edu
- D. Rolfsen, "Knots and links, Mathematics Lecture Series, No. 7" (1976), Publish or Perish, Inc.
- T. Tanaka, "The Jones polynomial of knots with symmetric union presentations", J. Korean Math. Soc, 52(2), pp.389~402 (2015)[DOI]
관련 논문AI추천
THE JONES POLYNOMIAL OF KNOTS WITH SYMMETRIC UNION PRESENTATIONSToshifumi Tanaka대한수학회 · 대한수학회지2015 · 제52권 제2호The disjoint curve property and bridge surfaces김흥숙, 홍성복대한수학회 · 대한수학회보2009 · 제46권 제5호On the 2-bridge knots of Dunwoody (1,1)-knots김수환, 김양곡대한수학회 · 대한수학회보2011 · 제48권 제1호Knots with a Trivial Coefficient PolynomialYasuyuki Miyazawa경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2009 · 제49권 제4호On infinite classes of genus two 1-bridge knots김수환, Yangkok Kim대한수학회 · 대한수학회논문집2004 · 제19권 제3호Knots with arbitrarily high distance bridge decompositionsKazuhiro Ichihara, Toshio Saito대한수학회 · 대한수학회보2013 · 제50권 제6호
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