East Asian mathematical journal

  • 제36권5호
  • /
  • Pages.537-545
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  • 2020
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  • 1226-6973(pISSN)
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  • 2287-2833(eISSN)
영남수학회 (The Youngnam Mathematical Society)
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POLYNOMIAL INVARIANTS FOR VIRTUAL KNOTS VIA VIRTUALIZATION MOVES

  • Im, Young Ho (Department of Mathematics, Pusan National University) ;
  • Kim, Sera (Department of Mathematics, Pusan National University)
  • 투고 : 2020.05.29
  • 심사 : 2020.07.22
  • 발행 : 2020.09.30
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초록

We investigate some polynomial invariants for virtual knots via virtualization moves. We define two types of polynomials WG(t) and S2G(t) from the definition of the index polynomial for virtual knots. And we show that they are invariants for virtual knots on the quotient ring Z[t±1]/I where I is an ideal generated by t2 - 1.

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참고문헌

  1. Heather A. Dye, An Invitation to Knot Theory: Virtual and Classical, ISBN : 13:978-1-4987-0164-8
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  3. Y. H. Im and S. Kim, A sequence of polynomial invariants for Gauss diagrams, J. Knot Theory Ramifications 26 (2017), no. 7, 1750039. https://doi.org/10.1142/S0218216517500390
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