The Geometric Theory of the Fundamental Germ
Differential Geometry
2007-05-23 v2 Algebraic Topology
Abstract
The fundamental germ is a generalization of , first defined for laminations which arise through group actions in math.DG/0506270. In this paper, the fundamental germ is extended to any lamination having a dense leaf admitting a smooth structure. In addition, an amplification of the fundamental germ called the mother germ is constructed, which is, unlike the fundamental germ, a topological invariant. The fundamental germs of the antenna lamination and the lamination are calculated, laminations for which the definition in math.DG/0506270 was not available. The mother germ is used to give a proof of a Nielsen theorem for the algebraic universal cover of a closed surface of hyperbolic type.
Keywords
Cite
@article{arxiv.math/0506275,
title = {The Geometric Theory of the Fundamental Germ},
author = {T. M. Gendron},
journal= {arXiv preprint arXiv:math/0506275},
year = {2007}
}
Comments
23 pages, 2 figures, submitted for publication