East Asian mathematical journal

  • 제32권5호
  • /
  • Pages.767-774
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  • 2016
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  • 1226-6973(pISSN)
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  • 2287-2833(eISSN)
영남수학회 (The Youngnam Mathematical Society)
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PARITY BRACKET POLYNOMIAL VIA SOME PARITY OF VIRTUAL LINKS

  • Im, Young Ho (Department of Mathematics, Pusan National University)
  • 투고 : 2016.08.30
  • 심사 : 2016.09.30
  • 발행 : 2016.09.30
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초록

Manturov inroduced the parity bracket polynomial by using a parity of virtual knots, which is an extension of Jones-Kauffman polynomial. We extend Manturov's result to virtual links, so that we obtain the parity bracket polynomial for virtual links and give some examples.

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참고문헌

  1. A. Name, Title of a paper, Math. Sci. Res. Inst. Publ. 5, Springer-Verlag, New York, 2000.
  2. Y. H. Im and K. I. Park, A parity of virtual links and a multi-variable polynomial invariant for virtual links, J. Knot Theory Ramifications 22 (2013), no.13, 1350073.
  3. Y. H. Im, K. I. Park and M. H. Shin, Parities and polynomial invariants for virtual links, J. Knot Theory Ramifications 23 (2014), no.12, 1450066. https://doi.org/10.1142/S0218216514500667
  4. L. H. Kauffman, Virtual knot theory, European J. Combin. 19 (1999), 663-690.
  5. V. Manturov, Parity in knot theory, Matem. Sb. 201 (2010), 693-733. https://doi.org/10.1070/SM2010v201n05ABEH004089
  6. Y. H. Im, S. Kim and K. I. Park, Polynomial invariants via odd parities for virtual Link diagrams, preprint.