English

A fast algorithm for calculating $s$-invariants

Geometric Topology 2018-11-16 v1 Algebraic Topology

Abstract

We use the divide-and-conquer and scanning algorithms for calculating Khovanov cohomology directly on the Lee- or Bar-Natan deformations of the Khovanov complex to give an alternative way to compute Rasmussen ss-invariants of knots. By disregarding generators away from homological degree 0 we can considerably improve the efficiency of the algorithm. With a slight modification we can also apply it to a refinement of Lipshitz-Sarkar.

Keywords

Cite

@article{arxiv.1811.06432,
  title  = {A fast algorithm for calculating $s$-invariants},
  author = {Dirk Schuetz},
  journal= {arXiv preprint arXiv:1811.06432},
  year   = {2018}
}

Comments

22 pages

R2 v1 2026-06-23T05:17:10.574Z