English

Polyak type equations for virtual arrow diagram formulas in the annulus

Geometric Topology 2013-06-07 v2

Abstract

We describe the space of arrow diagram formulas for virtual knot diagrams in the annulus as the kernel of a linear map, inspired from a conjecture due to M. Polyak. As a main application, we slightly improve Grishanov-Vassiliev's theorem for planar chain invariants.

Cite

@article{arxiv.1210.1073,
  title  = {Polyak type equations for virtual arrow diagram formulas in the annulus},
  author = {Arnaud Mortier},
  journal= {arXiv preprint arXiv:1210.1073},
  year   = {2013}
}

Comments

21 pages, 15 figures

R2 v1 2026-06-21T22:15:20.352Z