Infinitesimal Morita homomorphisms and the tree-level of the LMO invariant
type: Item
instance of: scholarly article
title: Infinitesimal Morita homomorphisms and the tree-level of the LMO invariant
zbMATH Open document ID: 1248.57009
author: Gwénaël Massuyeau
publication date: 2012-05-10T00:00:00Z
full work available at URL: https://arxiv.org/abs/0809.4629
full work available at URL: smf bull 140 101-161.php
Mathematics Subject Classification ID: 57M27
Mathematics Subject Classification ID: 57R19
Mathematics Subject Classification ID: 57R50
Mathematics Subject Classification ID: 20F28
Mathematics Subject Classification ID: 20F38
Mathematics Subject Classification ID: 20F40
zbMATH DE Number: 6032260
zbMATH Keywords: Torelli group
zbMATH Keywords: Johnson homomorphisms
zbMATH Keywords: Morita homomorphisms
zbMATH Keywords: Magnus expansion
zbMATH Keywords: Mal'cev Lie algebra
zbMATH Keywords: homology cylinder
zbMATH Keywords: finite-type invariant
zbMATH Keywords: LMO invariant
MaRDI profile type: Publication
OpenAlex ID: W1585679613
arXiv ID: 0809.4629
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DOI: 10.24033/BSMF.2625
published in: Bulletin de la Société Mathématique de France
review text: The author studies infinitesimal versions of the \(k^{th}\) Morita homomorphism by studying actions of mapping classes on Mal'cev Lie algebras of certain nilpotent quotients of the fundamental group of the underlying surface. The author then explores the relationship between the infinitesimal version and the usual version of the Morita homomorphisms.NEWLINENEWLINEFinitely, connections to finite-type invariants (such as LMO invariants) are discussed.
reviewed by: Thomas Koberda
description: scientific article; zbMATH DE number 6032260