Finite-type Invariants of Long and Framed Virtual Knots
Geometric Topology
2016-10-14 v2
Abstract
We generalize three invariants, first discovered by A. Henrich, to the long and/or framed virtual knot case. These invariants are all finite-type invariants of order one, and include a universal one. The generalization will require us to extend the notion of a based matrix of a virtual string, first introduced by V. Turaev and later generalized by Henrich, to the long and framed cases.
Cite
@article{arxiv.1610.03825,
title = {Finite-type Invariants of Long and Framed Virtual Knots},
author = {Nicolas Petit},
journal= {arXiv preprint arXiv:1610.03825},
year = {2016}
}
Comments
31 pages, 31 figures. Submitted for publication. Subsumes previous preprints arXiv:1602.08138 and arXiv:1509.07530