Algebraic monodromy and obstructions to formality
Algebraic Topology
2010-10-26 v2 Group Theory
Abstract
Given a fibration over the circle, we relate the eigenspace decomposition of the algebraic monodromy, the homological finiteness properties of the fiber, and the formality properties of the total space. In the process, we prove a more general result about iterated group extensions. As an application, we obtain new criteria for formality of spaces, and 1-formality of groups, illustrated by bundle constructions and various examples from low-dimensional topology and singularity theory.
Cite
@article{arxiv.0901.0105,
title = {Algebraic monodromy and obstructions to formality},
author = {Stefan Papadima and Alexander I. Suciu},
journal= {arXiv preprint arXiv:0901.0105},
year = {2010}
}
Comments
10 pages, 1 figure; accepted for publication in Forum Mathematicum