Stable existence of incompressible 3-manifolds in 4-manifolds

Autor:	Khan, Qayum, Smith, Gerrit
Rok vydání:	2017
Předmět:	Mathematics - Geometric Topology Mathematics - Algebraic Topology
Zdroj:	Topology and its Applications, Volume 262 (2019), 50--63
Druh dokumentu:	Working Paper
DOI:	10.1016/j.topol.2019.04.006
Popis:	Given an injective amalgam at the level of fundamental groups and a specific 3-manifold, is there a corresponding geometric-topological decomposition of a given 4-manifold, in a stable sense? We find an algebraic-topological splitting criterion in terms of the orientation classes and universal covers. Also, we equivariantly generalize the Lickorish--Wallace theorem to regular covers. Comment: 13 pages; Version 3: revised introduction and added references; accepted by Topology and its Applications
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1702.05362 Zobrazit plný text záznamu View this record from Arxiv