Homotopy string links and the $\kappa$-invariant
Geometric Topology
2017-12-06 v3 Algebraic Topology
Abstract
Koschorke introduced a map from the space of closed -component links to the ordered configuration space of -tuples of points in , and conjectured that this map separates homotopy links. The purpose of this paper is to construct an analogous map for string links, and to prove (1) this map in fact separates homotopy string links, and (2) Koschorke's original map factors through the map constructed here together with an analogue of Markov's closure map defined on the level of certain function spaces.
Keywords
Cite
@article{arxiv.1504.03233,
title = {Homotopy string links and the $\kappa$-invariant},
author = {F. R. Cohen and R. Komendarczyk and R. Koytcheff and C. Shonkwiler},
journal= {arXiv preprint arXiv:1504.03233},
year = {2017}
}
Comments
Added a sentence to correct the definition of $\overline{f}$ in Section 4.3, page 10. Otherwise, the content of this version agrees with the published version