논문KCI 등재
On Alexander Polynomials of Pretzel Links
경북대학교 자연과학대학 수학과|2020.06|Kyungpook Mathematical Journal|제60권 제2호|pp. 239-253|DOI 10.5666/KMJ.2020.60.2.239
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In this paper, we will find a Seifert matrix for a class of pretzel links with a certain symmetry. Using the symmetry, we find formulae for the Alexander polynomials, determinants and signatures of the pretzel links.
Abstract
In this paper, we will find a Seifert matrix for a class of pretzel links with a certain symmetry. Using the symmetry, we find formulae for the Alexander polynomials, determinants and signatures of the pretzel links.
참고문헌 (9)
- 배용주, "On Seifert Matrices of Symmetric Links", Kyungpook Mathematical Journal, 51(3), pp.261~281 (2011), 경북대학교 자연과학대학 수학과
- Y. Bae, "On Alexander polynomial of periodic links", J. Knot Theory Ramifications, 20(5), pp.749~761 (2011)
- Y. Bae, "Determinants formulae of Matrics with certain symmetry and its applications", Symmetry, 9(12), pp.22~ (2017)
- P. Cromwell, "Knots and links" (2004), Cambridge university press
- J. Ge, "Determinants of links, spanning trees, and a theorem of Shank", J. Knot Theory Ramifications, 25(9), pp.6~ (2016)
- A. Kawauchi, "A survey of knot theory" (1996), Birkh¨auser
- D. Kim, "Some invariants of pretzel links", Bull. Austral. Math. Soc., 75, pp.253~271 (2007)
- Y. Nakagawa, "On the Alexander polynomials of pretzel links L(p1, · · · , pn)", Kobe J. Math., 3, pp.167~177 (1987)
- Y. Shinohara, "Topology and computer science (Atami, 1986)", pp.217~224 (1987), Kinokuniya
관련 논문AI추천
On Seifert Matrices of Symmetric Links배용주, 이인숙경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2011 · 제51권 제3호DEALTERNATING NUMBERS AND CLASSICAL LINK INVARIANTS김동석, 김명재, 이동희영남수학회 · East Asian Mathematical Journal2012 · 제28권 제1호Generalized Alexander Polynomial for Virtual Links via Parity김세라, 김준오영남수학회 · East Asian Mathematical Journal2025 · 제41권 제5호Revisit to Alexander Modules of 2-generator Knots in the 3-sphere송현종영남수학회 · East Asian Mathematical Journal2020 · 제36권 제3호A Formula for the Colored Jones Polynomial of 2-Bridge KnotsToshie Takata경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2008 · 제48권 제2호Knots with a Trivial Coefficient PolynomialYasuyuki Miyazawa경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2009 · 제49권 제4호
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