Homotopy invariants of Gauss phrases
Geometric Topology
2009-01-31 v2 Combinatorics
Abstract
Equivalence relations can be defined on Gauss phrases using combinatorial moves. In this paper we consider two closely related equivalence relations on Gauss phrases, homotopy and open homotopy. In particular, in each case, we define a new invariant and determine the values that it can attain.
Cite
@article{arxiv.0810.4389,
title = {Homotopy invariants of Gauss phrases},
author = {Andrew Gibson},
journal= {arXiv preprint arXiv:0810.4389},
year = {2009}
}
Comments
17 pages. Second version: Contents reordered, some definitions and proofs improved