A knotted 2-dimensional foam with non-trivial cocycle invariant
Geometric Topology
2012-06-22 v1 Quantum Algebra
Abstract
By 2-twist-spinning the knotted graph that represents the knotted handlebody , we obtain a knotted foam in 4-dimensional space with a non-trivial quandle cocycle invariant.
Keywords
Cite
@article{arxiv.1206.4750,
title = {A knotted 2-dimensional foam with non-trivial cocycle invariant},
author = {J. Scott Carter and Atsushi Ishii},
journal= {arXiv preprint arXiv:1206.4750},
year = {2012}
}
Comments
14 pages and lots of very nice figures. To appear RIMS publications proceedings of the conference on Intelligence of Low Dimensional Topology 2012