English

A slope conjecture for links

Geometric Topology 2015-01-15 v2 Quantum Algebra

Abstract

The slope conjecture gives a precise relation between the degree of the colored Jones polynomial of a knot and the boundary slopes of essential surfaces in the knot complement. In this note we propose a generalization of the slope conjecture to links. We prove the conjecture for all alternating and more generally adequate links. We also verify the conjecture for torus links.

Keywords

Cite

@article{arxiv.1306.3275,
  title  = {A slope conjecture for links},
  author = {Roland van der Veen},
  journal= {arXiv preprint arXiv:1306.3275},
  year   = {2015}
}
R2 v1 2026-06-22T00:33:40.402Z