East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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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)
  • Received : 2020.05.29
  • Accepted : 2020.07.22
  • Published : 2020.09.30
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Abstract

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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References

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