The Geometric Theory of the Fundamental Germ release_bjs5f5sqn5ce7n3mdv6dmmsrdu

by T.M. Gendron

Released as a article .

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.
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Date   2005-06-28
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arXiv  math/0506275v2
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