The Geometric Theory of the Fundamental Germ

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dc.creatorGendron, T. M.
dc.date2005-06-14
dc.date2005-06-28
dc.date.accessioned2026-07-07T05:20:45Z
dc.date.available2026-07-07T05:20:45Z
dc.descriptionThe 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 $PSL(2,\Z)$ 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.
dc.description23 pages, 2 figures, submitted for publication
dc.identifierhttps://arxiv.org/abs/math/0506275
dc.identifierhttp://arxiv.org/abs/math/0506275
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75491
dc.subjectDifferential Geometry
dc.subjectAlgebraic Topology
dc.subject57R30, 14B0
dc.titleThe Geometric Theory of the Fundamental Germ
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