Taut foliation

Author: oslq

August undefined, 2024

WebAbout Center Leadership Special Committee; People Faculty Postdoc Staff Visitor Graduate; Research Research Areas Seminars Conferences; Programs Undergraduate Graduate WebWe define a norm on the homology of a foliated manifold, which refines and majorizes the usual Gromov norm on homology. This norm depends in an upper semi-continuous way on the underlying foliation, in the geometric topology. We show that this norm is non-trivial — i.e. it distinguishes certain taut foliations of a given hyperbolic 3-manifold.¶Using a …

Left orderability and taut foliations with one-sided branching

WebJun 12, 2011 · Reebless and taut foliations. Suppose we are given a closed oriented 3-manifold. It is well known that taut foliations are Reebless, and if a Reebless foliation isn't taut then the leaves which don't admit a closed transversal are tori. Furthermore, it is straightforward that in a taut foliation all the closed leaves are homologically non trivial. 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. download skype for windows 1

Laminar Groups and 3-Manifolds SpringerLink

Webapproximating contact structure has Reeb flow transverse to the foliation. Loops transverse to a taut foliation are not contractible. Mass accumulates on green circles! Corollary: … 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 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 … download skype for win

Taut foliations from left orders, in Heegaard genus two - UC Davis

arXiv:2211.11725v1 [math.GT] 21 Nov 2024

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. WebL-spaces, taut foliations, and graph manifolds - Volume 156 Issue 3 Due to planned system work, ecommerce on Cambridge Core will be unavailable on 12 March 2024 from 08:00 – … class rosters university of texasWebMay 9, 2016 · De nition 2.7. A C1;0 foliation Fis smoothly taut if for every leaf Lof Fthere is a simple closed transversal to Fthat has nonempty intersection with L. De nition 2.8. Let Fbe … class roster template doc

"WebOct 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. " - Taut foliation

Taut foliation

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. WebMar 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.

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WebJan 23, 2024 · An independent alternative proof of this result, together with an explicit classification of graph manifolds admitting cooriented taut foliations, appears in … 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 …

WebSep 10, 2024 · Suppose that $\mathcal F$ is a taut, transversely oriented, codimension one foliation of a connected, closed, oriented 3-manifold. We show that if $\mathcal F$ has continuous tangent plane field ... WebProperties of manifolds with taut foliation Question What are the topological/geometric consequences of having a taut foliation? Theorem (Palmeira, Rosenberg, Hae iger) If M is a closed, orientable 3-manifold that has a taut foliation with no sphere leaves then M is covered by R3, M is irreducible and has in nite fundamental group. Theorem ...

WebMar 19, 2002 · If M is an atoroidal 3-manifold with a taut foliation, Thurston showed that pi_1(M) acts on a circle. Here, we show that some other classes of essential laminations also give rise to actions on circles. In particular, we show this for tight essential laminations with solid torus guts. We also show that pseudo-Anosov flows induce actions on circles. … 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, …

WebThurston [10] bridged the gap between foliation theory and contact topology. Their seminal work opened the door and enabled an exchange of ideas between two neighboring ﬁelds. …

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 … download skype for windows 64 bitWebarXiv:math/0111270v1 [math.GT] 26 Nov 2001 BOUNDED COCHAINS ON 3–MANIFOLDS DANNY CALEGARI ABSTRACT.In this paper we study the large–scale geometry of 3–manifolds M for which class round-0WebAug 24, 2015 · L-spaces, taut foliations, and graph manifolds. Jonathan Hanselman, Jacob Rasmussen, Sarah Dean Rasmussen, Liam Watson. If is a closed orientable graph … class roster template editableWeb(3) g has negative slope, and M contains taut foliations realizing all boundary slopes in –ÿ1; 1ƒ; in this case, Mb–rƒcontains a taut foliation for all rational r 2–ÿ1; 1ƒ. If Mb–rƒcontains a taut foliation, then Mb–rƒis irreducible [18], has inﬁnite fundamental group [13], and has universal cover R3 [14]. So we have the class rosters rutgershttp://geometrie.math.cnrs.fr/Calegari3.pdf download skype for windows 8.1 laptopWebOct 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 ... download skype for windows 8.1WebWe 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, … class row mb-2