On the Torelli Lie algebra
Algebraic Topology
2023-03-06 v2 Geometric Topology
Abstract
We prove two theorems about the Malcev Lie algebra associated to the Torelli group of a surface of genus : stably, it is Koszul and the kernel of the Johnson homomorphism consists only of trivial -representations lying in the centre.
Keywords
Cite
@article{arxiv.2106.16010,
title = {On the Torelli Lie algebra},
author = {Alexander Kupers and Oscar Randal-Williams},
journal= {arXiv preprint arXiv:2106.16010},
year = {2023}
}
Comments
41 pages; v2. 45 pages, accepted version to appear in Forum of Mathematics, Pi