The Geometric Theory of the Fundamental Germ
release_bjs5f5sqn5ce7n3mdv6dmmsrdu
by
T.M. Gendron
2005
Abstract
The fundamental germ is a generalization of π_1, 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 PSL(2,) 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.
In text/plain
format
Archived Files and Locations
application/pdf 242.0 kB
file_7mr7h6opazd7vijw4d7ig6g6qm
|
archive.org (archive) |
math/0506275v2
access all versions, variants, and formats of this works (eg, pre-prints)