On spaces of connected graphs I: Properties of Ladders
Quantum Algebra
2007-05-23 v1 Geometric Topology
Abstract
We examine spaces of connected tri-/univalent graphs subject to local relations which are motivated by the theory of Vassiliev invariants. It is shown that the behaviour of ladder-like subgraphs is strongly related to the parity of the number of rungs: there are similar relations for ladders of even and odd lengths, respectively. Moreover, we prove that - under certain conditions - an even number of rungs may be transferred from one ladder to another.
Cite
@article{arxiv.math/0301018,
title = {On spaces of connected graphs I: Properties of Ladders},
author = {Jan Kneissler},
journal= {arXiv preprint arXiv:math/0301018},
year = {2007}
}
Comments
16 pages + 6 pages appendix