Categorical Groups, Knots and Knotted Surfaces
Geometric Topology
2017-05-23 v2 Quantum Algebra
Abstract
We define a knot invariant and a 2-knot invariant from any finite categorical group. We calculate an explicit example for the Spun Trefoil.
Keywords
Cite
@article{arxiv.math/0502562,
title = {Categorical Groups, Knots and Knotted Surfaces},
author = {Joao Faria Martins},
journal= {arXiv preprint arXiv:math/0502562},
year = {2017}
}
Comments
40 pages, lots of figures. Second version: Added example and discussion, clarification of the fact that the maps associated with Reidemeister Moves are well defined