English

The state-sum invariants for virtual knots

Quantum Algebra 2023-07-06 v9

Abstract

We construct the new non-trivial state--sum invariants for virtual knots and links by a generalization of the powerful Carter--Saito--Jelsovsky--Kamada--Langford theorem for classical knots. The main result of this work is based on cohomology quandle theory and colorings of virtual knot and link diagrams by quandle elements.

Keywords

Cite

@article{arxiv.1809.05871,
  title  = {The state-sum invariants for virtual knots},
  author = {A. A. Kazakov},
  journal= {arXiv preprint arXiv:1809.05871},
  year   = {2023}
}
R2 v1 2026-06-23T04:07:49.731Z