Canonical extensions of Morita homomorphisms to the Ptolemy groupoid
type: Item
instance of: scholarly article
title: Canonical extensions of Morita homomorphisms to the Ptolemy groupoid
zbMATH Open document ID: 1246.57037
author: Gwénaël Massuyeau
published in: Geometriae Dedicata
publication date: 2012-06-26T00:00:00Z
full work available at URL: https://arxiv.org/abs/1006.0920
review text: In the article under review, the author studies the Johnson filtration for the mapping class group from the point of view of the Ptolemy groupoid. The Ptolemy groupoid is a combinatorial generalization of the mapping class group, and is defined as the fundamental groupoid of a certain space of marked fat-graphs. In the setup, the author is able to construct tautological and infinitesimal extensions of the Morita homomorphisms, as well as infinitesimal extensions of the Johnson homomorphisms.
reviewed by: Thomas Koberda
Mathematics Subject Classification ID: 57N05
Mathematics Subject Classification ID: 57N10
Mathematics Subject Classification ID: 20F34
Mathematics Subject Classification ID: 20F38
Mathematics Subject Classification ID: 20F40
Mathematics Subject Classification ID: 20J06
Mathematics Subject Classification ID: 20L05
zbMATH DE Number: 6050459
zbMATH Keywords: mapping class group
zbMATH Keywords: Ptolemy groupoid
zbMATH Keywords: fatgraph
zbMATH Keywords: Johnson homomorphisms
zbMATH Keywords: Morita homomorphisms
MaRDI profile type: Publication
OpenAlex ID: W2963877999
arXiv ID: 1006.0920
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DOI: 10.1007/S10711-011-9640-X
description: scientific article; zbMATH DE number 6050459