English

The Slope Conjecture for 3-String Montesinos Knots

Geometric Topology 2018-04-17 v1

Abstract

The (Strong) Slope Conjecture relates the degree of the colored Jones polynomial of a knot to certain essential surfaces in the knot complement. We verify the Slope Conjecture and the Strong Slope Conjecture for 3-string Montesinos knots satisfying certain conditions.

Keywords

Cite

@article{arxiv.1804.05224,
  title  = {The Slope Conjecture for 3-String Montesinos Knots},
  author = {Xudong Leng and Zhiqing Yang and Ximin Liu},
  journal= {arXiv preprint arXiv:1804.05224},
  year   = {2018}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1710.07101

R2 v1 2026-06-23T01:23:40.433Z