Remarks on the cohomology of finite fundamental groups of 3-manifolds

Autor:	Tomoda, Satoshi, Zvengrowski, Peter
Rok vydání:	2009
Předmět:	Mathematics - Algebraic Topology Mathematics - Group Theory Mathematics - Geometric Topology 57M05 57M60 20J06
Zdroj:	Geom. Topol. Monogr. 14 (2008) 519-556
Druh dokumentu:	Working Paper
DOI:	10.2140/gtm.2008.14.519
Popis:	Computations based on explicit 4-periodic resolutions are given for the cohomology of the finite groups G known to act freely on S^3, as well as the cohomology rings of the associated 3-manifolds (spherical space forms) M = S^3/G. Chain approximations to the diagonal are constructed, and explicit contracting homotopies also constructed for the cases G is a generalized quaternion group, the binary tetrahedral group, or the binary octahedral group. Some applications are briefly discussed. Comment: This is the version published by Geometry & Topology Monographs on 29 April 2008
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0904.1876 Zobrazit plný text záznamu View this record from Arxiv