Generalized Johnson homomorphisms for extended N-series

Autor:	Habiro, Kazuo, Massuyeau, Gwenael
Rok vydání:	2017
Předmět:	Mathematics - Group Theory Mathematics - Geometric Topology 20F28 20F14 20F34 20F38 20F40 57N05
Zdroj:	J. Algebra 510 (2018) 205-258
Druh dokumentu:	Working Paper
Popis:	The Johnson filtration of the mapping class group of a compact, oriented surface is the descending series consisting of the kernels of the actions on the nilpotent quotients of the fundamental group of the surface. Each term of the Johnson filtration admits a Johnson homomorphism, whose kernel is the next term in the filtration. In this paper, we consider a general situation where a group acts on a group with a filtration called an "extended N-series". We develop a theory of Johnson homomorphisms in this general setting, including many known variants of the original Johnson homomorphisms as well as several new variants. Comment: 41 pages; some references and examples have been added
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1707.07428 Zobrazit plný text záznamu View this record from Arxiv