English

The strong slope conjecture for cablings and connected sums

Geometric Topology 2019-12-24 v2

Abstract

We show that, under some technical conditions, the Strong Slope Conjecture proposed by Kalfagianni and Tran is closed under connect sums and cabling. As an application, we establish the Strong Slope Conjecture for graph knots.

Cite

@article{arxiv.1809.01039,
  title  = {The strong slope conjecture for cablings and connected sums},
  author = {Kenneth L Baker and Kimihiko Motegi and Toshie Takata},
  journal= {arXiv preprint arXiv:1809.01039},
  year   = {2019}
}

Comments

Title change. Updated terminology, discussions, and proofs

R2 v1 2026-06-23T03:53:53.736Z