[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2015.52.5.929

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)

Publication Information

Journal of the Korean Mathematical Society / v.52, no.5, 2015 , pp. 929-944 More about this Journal

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.

Keywords

virtual link; welded link; Miyazawa polynomial; index polynomial; fused isotopy;

Citations & Related Records

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