TY - JOUR
T1 - Alexander and writhe polynomials for virtual knots
AU - Mellor, Blake
N1 - Mellor, B., 2016: Alexander and writhe polynomials for virtual knots. J. Knot Theory Ramif., 25.8, arXiv:1601.07153.
PY - 2016
Y1 - 2016
N2 - We give a new interpretation of the Alexander polynomial Δ 0 for virtual knots due to Sawollek and Silver and Williams, and use it to show that, for any virtual knot, Δ 0 determines the writhe polynomial of Cheng and Gao (equivalently, Kauffman's affine index polynomial). We also use it to define a second-order writhe polynomial, and give some applications.
AB - We give a new interpretation of the Alexander polynomial Δ 0 for virtual knots due to Sawollek and Silver and Williams, and use it to show that, for any virtual knot, Δ 0 determines the writhe polynomial of Cheng and Gao (equivalently, Kauffman's affine index polynomial). We also use it to define a second-order writhe polynomial, and give some applications.
UR - https://digitalcommons.lmu.edu/math_fac/32
M3 - Article
VL - 25
JO - Journal of Knot Theory and its Ramifications
JF - Journal of Knot Theory and its Ramifications
IS - 8
ER -