A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.
Defines new lamination links in 3-manifolds and shows their properties.
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 fl…
We show that every co--orientable taut foliation F of an orientable, atoroidal 3-manifold admits a transverse essential lamination. If this transverse lamination is a foliation G, the pair F,G are the unstable and stable foliation respectively of an Anosov flow. Otherwise, F admits a pair of transverse very full genuin…
Study of laminations for pseudo-Anosov flows on three-manifolds.
Whether every hyperbolic 3-manifold admits a tight contact structure or not is an open question. Many hyperbolic 3-manifolds contain taut foliations and taut foliations can be perturbed to tight contact structures. The first examples of hyperbolic 3-manifolds without taut foliations were constructed by Roberts, Sharesh…
New method shows how certain groups act on 3-orbifolds.
This paper explores groups acting on the circle with invariant laminations, called laminar groups.
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 with solid torus complementary regions which bind every leaf of F in a geodesic lamination. These laminations come from a universal circle, a refinement of the universal circles pro…
Paper introduces 'zippers' for constructing universal circles.
Classifies Anosov flows on figure-eight knot surgeries.
Study on tautness tensor for Riemannian foliations.
We give an equivalent description of taut submanifolds of complete Riemannian manifolds as exactly those submanifolds whose normal exponential map has the property that every preimage of a point is a union of submanifolds. It turns out that every taut submanifold is also -taut. We explicitely construct gen…
Proves is 1-taut, concluding studies of rank-one Lie groups.
The study of smoothing arcs and curves on surfaces, proving tautness and arc length spectrum properties.
Tautness of submanifolds in spheres is preserved under Lie sphere transformations.
This paper concerns the problem of existence of taut foliations among 3-manifolds. Since the contribution of David Gabai, we know that closed 3-manifolds with non-trivial second homology group admit a taut foliations. The essential part of this paper focuses on Seifert fibered homology 3-spheres. The result is quite di…
Essential loops found in taut ideal triangulations.
Taut foliations map leaves to branched 2-sphere covers.
Torus leaves play a crucial role in the theory of foliations. For example non-taut foliations admit a torus leaf (see the article of Goodman). In this paper, we study all the foliations near a torus leaf, and try to understand why sometimes it is taut, or non-taut (and Reebless). We focus on some crucial examples to un…
New results show how complex representations are needed to realize taut sutured handlebodies as homology products.
Proof of contact structure from taut foliation for certain knots.
3-manifolds with Heegaard 2 admit taut foliations if their fundamental group is left-orderable.
A taut ideal triangulation of a 3-manifold is a topological ideal triangulation with extra combinatorial structure: a choice of transverse orientation on each ideal 2-simplex, satisfying two simple conditions. The aim of this paper is to demonstrate that taut ideal triangulations are very common, and that their behavio…
Paper proves depth bounds for taut foliations using instanton Floer homology.
We show the equivalence of several notions in the theory of taut foliations and the theory of tight contact structures. We prove equivalence, in certain cases, of existence of tight contact structures and taut foliations.
New findings on -spaces and taut foliations in hyperbolic links.
Constructs taut foliations for surgeries on positive 3-braids, confirming L-space conjecture.
This is a short, elementary survey article about taut submanifolds. In order to simplify the exposition, we restrict to the case of compact smooth submanifolds of Euclidean or spherical spaces. Some new, partial results concerning taut 4-manifolds are discussed at the end of the text.
This article proves that the parity of the number of Klein-bottle leaves in a smooth cooriented taut foliation is invariant under smooth deformations within taut foliations, provided that every Klein-bottle leaf involved in the counting has non-trivial linear holonomy.
New foliations constructed from contact pairs, revealing flexible taut foliations.
Floer homology detects taut foliations in rational homology spheres.
Left orderability proven for certain 3-manifolds with specific foliations.
We introduce cosymplectic circles and cosymplectic spheres, which are the analogues in the cosymplectic setting of contact circles and contact spheres. We provide a complete classification of compact 3-manifolds that admit a cosymplectic circle. The properties of tautness and roundness for a cosymplectic -sphere are…
A taut contact sphere on a 3-manifold is a linear 2-sphere of contact forms, all defining the same volume form. In the present paper we completely determine the moduli of taut contact spheres on compact left-quotients of SU(2) (the only closed manifolds admitting such structures). We also show that the moduli space of …
In this note we give a characterization of taut Riemannian foliations using the transverse divergence. This result turns out to be a convenient tool in the case of some standard examples. Furthermore, we show that a classical tautness result of Haefliger can be obtained in our particular setting as a straightforward co…
Whitehead link surgeries are not L-spaces if they support taut foliations.
New method finds unique branched surfaces in 3-manifolds.
New triangulations encode flows with vanishing polynomial.
Finite quotients of fibered hyperbolic 3-manifold groups detect taut polynomials.
New foliations found in 3D spaces from positive braids.
Agol recently introduced the concept of a veering taut triangulation, which is a taut triangulation with some extra combinatorial structure. We define the weaker notion of a "veering triangulation" and use it to show that all veering triangulations admit strict angle structures. We also answer a question of Agol, givin…
This paper proves a converse to Thurston's 1976 observation for taut foliations on hyperbolic 3-manifolds.
Study positive braid knots and their taut foliations, proving some L-space conjecture evidence.
Developed algorithms to compute three polynomial invariants of veering triangulations.
We give a necessary and sufficient criterion for a sutured manifold to be taut in terms of the twisted homology of the sutured manifold.
In [Mor], we have introduced a notion of flat laminations on surfaces endowed with a flat structure, similar to geodesic laminations on hyperbolic surfaces. Here is a sequel to this article that aims at defining transversal measures on flat laminations similar to transversal measures on hyperbolic laminations, taking i…
The Euler class of taut foliations on Dehn fillings is studied, leading to new left-orderable slopes.
In this paper we present some new results on the tautness of Riemannian foliations in their historical context. The first part of the paper gives a short history of the problem. For a closed manifold, the tautness of a Riemannian foliation can be characterized cohomologically. We extend this cohomological characterizat…