On the Jones polynomials of checkerboard colorable virtual links

By Naoko Kamada. 2002

59 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Discrete Mathematics and Combinatorics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/27592b9b8824ea812e7d857a3658be7cf6939a19

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Igor Pak
2. Mario O. Bourgoin
3. Sergei Chmutov
4. Shelly Garion
5. Aner Shalev

In Discrete Mathematics and Combinatorics

1. Igor Pak
2. Mario O. Bourgoin
3. Sergei Chmutov
4. Iain Moffatt
5. Joanna A. Ellis-Monaghan
6. Shelly Garion
7. Aner Shalev

In Geometry and Topology

1. Igor Pak
2. Mario O. Bourgoin
3. Sergei Chmutov
4. Iain Moffatt
5. Joanna A. Ellis-Monaghan
6. J. Bloom

Citations in the corpus

• The Kauffman bracket of virtual links and the Bollob\'as-Riordan polynomial (2006, methodology): “c(F)+n(F) . This is a Laurent polynomial in x1/2, y1/2, and z. Any checkerboard colorable virtual link diagram L can be made alternating Le by switching some classical overcrossings to undercrossings [Ka1]. We can label the edges of Ge L corresponding to the crossings where the switching was perform”
• Twisted link theory (2006, methodology): “By a theorem of Naoko Kamada [9], if a virtual link has a two-colorable diagram, then its Jones polynomial’s exponents are multiples of four if the link has an odd number of components, and multiples of four plus two if the link has an even number of components.”