arXiv Analytics

Sign in

arXiv:1805.07704 [math.GT]AbstractReferencesReviewsResources

A note on the writhe polynomial and the virtual crossing number

Zhiyun Cheng

Published 2018-05-20Version 1

In this note we give a new lower bound on the virtual crossing number via the writhe polynomial, which refines a result of B. Mellor. The proof is based on a new interpretation of the writhe polynomial. The characterization of the writhe polynomial is also discussed.

Comments: 8 pages, 6 figures
Categories: math.GT
Subjects: 57M25, 57M27
Related articles: Most relevant | Search more
arXiv:1801.04030 [math.GT] (Published 2018-01-12)
A lower bound for the double slice genus
arXiv:math/0408026 [math.GT] (Published 2004-08-02, updated 2009-02-09)
Quadrisecants give new lower bounds for the ropelength of a knot
arXiv:1708.03000 [math.GT] (Published 2017-08-09)
The non-orientable 4-genus for knots with 8 or 9 crossings