Fox pairings and generalized Dehn twists
Geometric Topology
2014-07-17 v3 Algebraic Topology
Abstract
We introduce a notion of a Fox pairing in a group algebra and use Fox pairings to define automorphisms of the Malcev completions of groups. These automorphisms generalize to the algebraic setting the action of the Dehn twists in the group algebras of the fundamental groups of surfaces. This work is inspired by the Kawazumi-Kuno generalization of the Dehn twists to non-simple closed curves on surfaces.
Cite
@article{arxiv.1109.5248,
title = {Fox pairings and generalized Dehn twists},
author = {Gwenael Massuyeau and Vladimir Turaev},
journal= {arXiv preprint arXiv:1109.5248},
year = {2014}
}
Comments
39 pages, 3 figures. One reference added, one lemma added and some minor modifications