منابع مشابه
Affine Hirsch foliations on 3-manifolds
This paper is devoted to discussing affine Hirsch foliations on 3-manifolds. First, we prove that up to isotopic leaf-conjugacy, every closed orientable 3-manifold M admits 0, 1 or 2 affine Hirsch foliations. Then, we analysis the 3-manifolds admitting two affine Hirsch foliations (abbreviated as Hirsch manifolds). On one hand, we construct Hirsch manifolds by using exchangeable braided links (...
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We establish a geometric condition that determines when a type III von Neumann algebra arises from a foliation whose holonomy becomes affine with respect to a suitable transverse coordinate system. Under such an assumption the Godbillon-Vey class of the foliation becomes trivial in contrast to the case considered in Connes’s famous theorem.
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We establish a geometric condition that determines when a type III von Neumann algebra arises from a foliation whose holonomy becomes affine with respect to a suitable transverse coordinate system. Under such an assumption the Godbillon-Vey class of the foliation becomes trivial in contrast to the case considered in Connes’s famous theorem.
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The space of broken hyperbolic structures generalizes the usual Teichmüller space of a punctured surface, and the space of projectivized broken measured foliations–or equivalently, the space of projectivized affine foliations of a punctured surface–likewise admits a generalization to projectivized broken measured foliations. Just as projectivized measured foliations provide Thurston's boundary ...
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In this paper we address Fano foliations on complex projective varieties. These are foliations F whose anti-canonical class −KF is ample. We focus our attention on a special class of Fano foliations, namely del Pezzo foliations on complex projective manifolds. We show that these foliations are algebraically integrable, with one exceptional case when the ambient space is Pn. We also provide a cl...
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ژورنال
عنوان ژورنال: Algebraic & Geometric Topology
سال: 2017
ISSN: 1472-2739,1472-2747
DOI: 10.2140/agt.2017.17.1743