#### 118 Citations

Controlled Mather-Thurston theorems

- Mathematics, Physics
- 2020

Classical results of Milnor, Wood, Mather, and Thurston produce flat connections in surprising places. The Milnor-Wood inequality is for circle bundles over surfaces, whereas the Mather-Thurston… Expand

A smooth codimension-one foliation of the five-sphere by symplectic leaves

- Mathematics
- 2009

In 1969, in a landmark paper in the theory of foliations, Blai ne Lawson discovered the first example of a smooth codimension-one foliation of the sp hereS5 [8]. This example played a fundamental… Expand

Homotopy invariance of foliation Betti numbers

- Mathematics
- 1991

Foliation Betti numbers, introduced by Connes [C I], bear a striking formal similarity to the Betti numbers of a Galois covering space [A]. Both appear in a index theorem for DeRham complexes, and… Expand

COMMENTARY ON THURSTON’S WORK ON FOLIATIONS

- 2018

In this section we give some commentary on Thurston’s papers on foliations, denoted [F1] [F16] in the bibliography. We start by quoting his elegant definition of foliation [F11]. ”Given a large… Expand

On the uniqueness of the contact structure approximating a foliation

- Mathematics
- 2016

According to a theorem of Eliashberg and Thurston, a C-2-foliation on a closed 3-manifold can be C-0-approximated by contact structures unless all leaves of the foliation are spheres. Examples on the… Expand

Existence of codimension-one foliations

- Mathematics
- 1976

A codimension-k foliation of a manifold Mn is a geometric structure which is formally defined by an atlas {qf: U. - Mn}, with U c Rn-k x R , such that the transition functions have the form 9pj(x, y)… Expand

On the Haefliger-Thurston conjecture

- Mathematics
- 2021

The classifying space for the framed Haefliger structures of codimension q and class Cr is (2q − 1)-connected, for 1 ≤ r ≤ ∞. The corollaries deal with the existence of foliations, with the homology… Expand

Wrinkling of smooth mappings III. Foliations of codimension greater than one

- Mathematics
- 1998

This is the third paper in our Wrinkling saga (see [EM1], [EM2]). The first paper [EM1] was devoted to the foundations of the method. The second paper [EM2], as well as the current one are devoted to… Expand

Noncritical holomorphic functions on Stein manifolds

- Mathematics
- 2002

We prove that every Stein manifold X of dimension n admits [(n+1)/2] holomorphic functions with pointwise independent differentials, and this number is maximal for every n. In particular, X admits a… Expand

#### References

SHOWING 1-10 OF 11 REFERENCES

Foliations on 3-manifolds

- Mathematics
- 1969

Let M be a smooth manifold with tangent bundle TM. A k-plane field (or k-distribution) on M is a k-dimensional subbundle a of TM. Equivalently let a denote the section of the Grassmann bundle Gk(M)… Expand