论文信息 - MAGNETIC GRAPHS AND AN INVARIANT FOR VIRTUAL LINKS

MAGNETIC GRAPHS AND AN INVARIANT FOR VIRTUAL LINKS

Introducing a type of graph named a virtual magnetic graph diagram, we define a virtual link invariant, which generalizes the Jones-Kauffman polynomial and the 2-variable polynomial invariant defined by N. Kamada and the author. We show that this invariant can evaluate the number of virtual crossings of a virtual link.

Y. Miyazawa

[1] Naoko Kamada,et al. A 2-variable polynomial invariant for a virtual link derived from magnetic graphs , 2005 .

[2] S. Satoh,et al. A NOTE ON NON-CLASSICAL VIRTUAL KNOTS , 2004 .

[3] L. Kauffman,et al. Minimal surface representations of virtual knots and links , 2004, math/0401035.

[4] V. Manturov. KAUFFMAN-LIKE POLYNOMIAL AND CURVES IN 2-SURFACES , 2003 .

[5] V. Manturov. MULTI-VARIABLE POLYNOMIAL INVARIANTS FOR VIRTUAL LINKS , 2003 .

[6] Teruhisa Kadokami. Detecting Non-Triviality of Virtual Links , 2003 .

[7] Susan G. Williams,et al. ALEXANDER GROUPS AND VIRTUAL LINKS , 2001 .

[8] J. Sawollek. On Alexander-Conway Polynomials for Virtual Knots and Links , 1999, math/9912173.

[9] L. Kauffman. Virtual Knot Theory , 1998, Eur. J. Comb..