Foliation Cones II
Foliation Cones II
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叶状锥体 II
DOI：
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发表时间：
2011
期刊：
影响因子：
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通讯作者：
L. Conlon
中科院分区：
文献类型：
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作者：
J. Cantwell;L. Conlon
本文扩展和简化了我们的论文“叶状锥体”（KirbyFest, 1999），并修正了一些错误。我们对具有给定“子结构”S的有限深度、片理的3流形M进行分类。（M S）的分量W是稳定片理的，并且可能的片理可以通过射线在W的合适上同调中的有限多个封闭的、凸的、不重叠的、有限边的多面体锥的内部的整数晶格点进行分类，直到同位素。而锥通常是无限维的，它们只有有限多个面。这种类型的结果给出了两种情况下，叶理是，和不是，光滑的。
This paper extends and simplifies our paper "Foliation Cones" (KirbyFest, 1999) while correcting some errors. We classify finite depth, foliated 3-manifolds M with a given "substructure" S. The components W of (M S) are stably foliated and the possible such foliations are classified, up to isotopy, by the rays through the integer lattice points in the interiors of finitely many closed, convex, non-overlapping, finite-sided, polyhedral cones in a suitable cohomology of W. While the cones are generally infinite dimensional, they have only finitely many faces. Results of this type are given both for the cases that the foliation is, and is not, smooth.