2024 Taut foliation

Taut foliation

Author: yksx

August undefined, 2024

Web在数学上，叶状结构（ foliation ）研究几何的一个工具。非正式地说，一个叶状结构是一种给流形穿的条纹织物的衣服。在流形的每个足够小的片上，这些条纹给了流形一个局部乘积结构。这个乘积结构不用在局部区域之外一致(也就是不用有良定义的整体结构)：沿着一个条纹走足够远可能回到一个 ... WebL-spaces and taut foliations A taut foliation on a 3-manifoldY is a foliation of Y by surfaces (the leaves) so that there exists a curve γ that intersects every leaf transversally. When …

arXiv:1311.3517v1 [math.GT] 14 Nov 2013

WebIn mathematics, a taut foliation is a codimension 1 foliation of a 3-manifold with the property that there is a single transverse circle intersecting every leaf. By transverse circle, … WebMar 24, 2024 · A codimension one foliation F of a 3-manifold M is said to be taut if for every leaf lambda in the leaf space L of F, there is a circle gamma_lambda transverse to F (i.e., a … class will not stop talking

(PDF) Graph Manifolds And Taut Foliations - ResearchGate

http://geometrie.math.cnrs.fr/Calegari3.pdf WebAug 24, 2015 · Ozsváth and Szabó proved that Lspaces cannot carry taut foliations [OS04a] (see also [Bow16,KR17]). At present, the conditions Y not being an L-space, π 1 (Y ) being … WebFor a Riemannian foliation on a closed manifold, the ﬁrst secondary invariant of Molino’s central sheaf is an obstruction to tautness. Another ... Thus F is taut if and only if g is unimodular and the H-orbit closures are minimal submanifolds for some H-invariant metric. download sofia pro font

TAUT FOLIATIONS IN PUNCTURED SURFACE BUNDLES, I

A note on transverse divergence and taut Riemannian foliations

Webarbitrary taut foliations, but on the other hand one has enough control over their geometry to prove some very powerful structure theorems. The main results of this paper are summarized in the abstract. The most important is the fact that transverse to any taut foliation with one-sided branching of an ator- WebNext, I will discuss connections to contact geometry, namely the work of Eliashberg-Thurston which builds from a taut foliation a pair of tight contact structures. Finally, I will explain how taut foliations fit into the various Floer homology theories of 3-manifolds (the Heegaard, instanton, and monopole Floer homologies). download sofi appWebOct 1, 2015 · Then the foliation is non-taut if and only if there is a basic vector field v on M such that div Q v ≥ 0 and div Q v > 0 at some point, where div Q is the transverse divergence operator associated to the metric g. Proof. We prove first that the above condition regarding the transverse divergence implies that the foliation is non-taut. download sofi to quicken

"WebWe describe notions of tautness that arise in the study of C foliations, C or smoother foliations, and in geometry. We give examples to show that these notions are different, … " - Taut foliation

Taut foliation

Webknot in an integer homology 3-sphere admits a co-oriented taut foliation and has left-orderable fundamental group, even if the surgered manifold does not, and that the same … Weba co-orientable taut foliation, then so does Ye. Also, if ˇ 1(Y) admits a left-ordering, then so does its subgroup ˇ 1(Ye). In view of these observations, the following question was raised in [BGW13]: Question 1.7 (Boyer-Gordon-Watson, [BGW13]). If ˇ: Ye!Y is a covering map, Y is orientable, and Yeis an L-space, does Y have to be an L-space?

Did you know?

WebJan 23, 2024 · An independent alternative proof of this result, together with an explicit classification of graph manifolds admitting cooriented taut foliations, appears in … WebIndeed, the following fundamental result gives necessary and sufficient conditions for a generalized Finsler structure to be a Finsler structure ([3]): Theorem 2.2 The necessary and sufficient conditions for an (I, J, K)-generalized Finsler struc- ture (Σ, ω) to be realizable as a classical Finsler structure on a surface M are 1. the leaves of the codimension two …

WebThis is a personal view of some problems on minimal surfaces, Ricci flow, polyhedral geometric structures, Haken 4–manifolds, contact structures and Heegaard splittings, singular incompressible surfaces after the Hamil… WebIn mathematics, tautness is a rigidity property of foliations. A taut foliation is a codimension 1 foliation of a closed manifold with the property that every leaf meets a transverse …

WebOct 1, 1998 · If Y is a graph manifold with tree graph and F is a taut foliation on Y transverse to ∂Y , then F can be isotoped so that it restricts to boundary-transverse taut foliations on the Seifert ... WebThe boundary torus is another leaf of the Reeb foliation. Deﬁnition: A foliation F of codimension one on a closed manifold is called taut if one can embed into it a transverse circle that intersects each leaf. Theorem (Goodman [GO]): A codimension one foliation F of a closed 3-manifold is taut if and only if it does not have a Reeb Component.

WebThe induced foliation of is called the n-dimensional Reeb foliation. Its leaf space is not Hausdorff. 2.5 Taut foliations . A codimension one foliation of is taut if for every leaf of there is a circle transverse to which intersects . 3 References [Godbillon1991] C. Godbillon, Feuilletages, Birkhäuser Verlag, 1991.

WebA codimension one foliation on a closed three-manifold is taut if the manifold has a closed 2-form inducing an area form on each leaf of the foliation.Equivalently, by a theorem of Sullivan [], the foliation is taut if, through every point, there is a loop everywhere transverse to the leaves.This characterization shows that a taut foliation does not contain any Reeb … downloads öffnen windows 10WebAug 24, 2015 · L-spaces, taut foliations, and graph manifolds. Jonathan Hanselman, Jacob Rasmussen, Sarah Dean Rasmussen, Liam Watson. If is a closed orientable graph … classwire tmWebA codimension one foliation of is taut if for every leaf of there is a circle transverse to which intersects . Theorem 2.1 (Rummler, Sullivan) . The following conditions are equivalent for transversely orientable … download soft 98WebMar 28, 2024 · A codimension-1 transversely oriented foliation \(\mathcal {F}\) on M is taut if there exists a closed curve in M transversally intersecting each leaf of \(\mathcal {F}\). Every taut foliation has no Reeb components . Let \(\mathcal {F}\) be a codimension-1 foliation on M. We say that a leaf L of \(\mathcal {F}\) is of depth 0 if L is compact. downloads of songshttp://www.map.mpim-bonn.mpg.de/Foliation classwire网站Weboriented foliation on M. See [Yaz20, Theorem 8.1] for this deduction, originally due to Wood. A transversely oriented foliation of a 3-manifold is taut if for every leaf L there is a circle cL intersecting L and transverse to the foliation. Manifolds that admit taut foliations have downloads of mp3 songsWebFirst constructed by Meigniez, these foliations occupy an intermediate position between ℝ-covered foliations and arbitrary taut foliations of 3-manifolds. We show that for a taut foliation F with one-sided branching of an atoroidal 3-manifold M, one can construct a pair of genuine laminations Λ ± of M transverse to F with solid torus ... download soft98