Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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SOME POLYNOMIAL INVARIANTS OF WELDED LINKS

  • IM, YOUNG HO (Department of Mathematics Pusan National University) ;
  • LEE, KYEONGHUI (Department of Mathematics Pusan National University) ;
  • SHIN, MI HWA (Department of Mathematics Graduate School of Natural Sciences Pusan National University)
  • Received : 2014.10.23
  • Published : 2015.09.01
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Abstract

We give a quotient of the ring ${\mathbb{Q}}[A^{{\pm}1},\;t^{{\pm}1]$ so that the Miyazawa polynomial is a non-trivial invariant of welded links. Furthermore we show that this is also an invariant under the other forbidden move $F_u$, and so it is a fused isotopy invariant. Also, we give some quotient ring so that the index polynomial can be an invariant for welded links.

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References

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