Triangulating a Cappell-Shaneson knot complement
Geometric Topology
2014-03-20 v3 Algebraic Topology
Abstract
We show that one of the Cappell-Shaneson knot complements admits an extraordinarily small triangulation, containing only two 4-dimensional simplices.
Cite
@article{arxiv.1109.3899,
title = {Triangulating a Cappell-Shaneson knot complement},
author = {Ryan Budney and Benjamin A. Burton and Jonathan Hillman},
journal= {arXiv preprint arXiv:1109.3899},
year = {2014}
}
Comments
9 pages, 5 figures. V2->V3: Primary figures now display a symmetry of order two. Attaching maps made "order-preserving". A new figure describing the dual 2-cells is included. Previous arguments simplified a little, due to the symmetry