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PARITY BRACKET POLYNOMIAL VIA SOME PARITY OF VIRTUAL LINKS

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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.

Abstract

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.

참고문헌 (6)

  1. A. Name, "Title of a paper" (2000), Springer-Verlag
  2. Y. H. Im, "A parity of virtual links and a multi-variable polynomial invariant for virtual links", J. Knot Theory Ramifications, 22(13), pp.1350073~ (2013)
  3. Y. H. Im, "Parities and polynomial invariants for virtual links", J. Knot Theory Ramifications, 23(12), pp.1450066~ (2014)
  4. L. H. Kauffman, "Virtual knot theory", European J. Combin., 19, pp.663~690 (1999)
  5. V. Manturov, "Parity in knot theory", Matem. Sb., 201, pp.693~733 (2010)
  6. Y. H. Im, "Polynomial invariants via odd parities for virtual Link diagrams", ~

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