The Links--Gould polynomial of an alternating link is alternating
Matthew Harper, Ben-Michael Kohli
Abstract
Building on work of Kauffman--Saleur and earlier work of the second author, we derive a determinant formula for the Links--Gould polynomial of links. As an application, we prove a 20-year-old conjecture of Ishii: for any alternating link, the Links--Gould invariant is an alternating polynomial.
Create a lesson
Related papers
Arithmetic hyperbolic manifolds with bounded rank
Matthew Zevenbergen
Stably exotic knotted surfaces up to equivalence
Daniel Galvin, Daniel Kasprowski
A proof of the framed LMOV conjecture for links
Kefeng Liu, Pan Peng, Shengmao Zhu
A parity constraint on the topological numbers of self-complementary triply-periodic surfaces
Roberto De Leo
3-manifold groups are linear
Xiaolei Wu, Shengkui Ye
Purely non-free actions on Riemann surfaces
Rubén A. Hidalgo, Jhony S. Leyca