A Second Order Algebraic Knot Concordance Group
Geometric Topology
2011-09-06 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 obstruction. 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.1109.0761,
title = {A Second Order Algebraic Knot Concordance Group},
author = {Mark Powell},
journal= {arXiv preprint arXiv:1109.0761},
year = {2011}
}
Comments
This is essentially my PhD thesis