A second order algebraic knot concordance group
Geometric Topology
2014-10-01 v1
Abstract
We define an algebraic group comprising symmetric chain complexes which captures the first two stages of the Cochran-Orr-Teichner solvable filtration of the knot concordance group in a single invariant. To achieve this we impose additional structure on each chain complex which puts extra control on the fundamental groups, and in particular on the way in which they can change in a concordance.
Cite
@article{arxiv.1203.5645,
title = {A second order algebraic knot concordance group},
author = {Mark Powell},
journal= {arXiv preprint arXiv:1203.5645},
year = {2014}
}
Comments
51 pages, 2 figures. This a considerably shortened version of arXiv:1109.0761, to appear in Algebraic and Geometric Topology