3 citations · 7 across the 10 of their papers we have counts for
9 papers · 1 filter
On the Haefliger-Thurston conjecture
Gael Meigniez
The classifying space for the framed Haefliger structures of codimension and class is -connected, for . The corollaries deal with the existence o…
Matching Cells
Gael Meigniez
A (complete) matching of the cells of a triangulated manifold can be thought as a combinatorial or discrete version of a nonsingular vector field. We give several methods for const…
Quasi-Complementary Foliations and the Mather-Thurston Theorem
Gael Meigniez
We establish a form of the h-principle for the existence of foliations quasi-complementary to a given one; the same methods also provide a proof of the classical Mather-Thurston th…
Haefliger structures and symplectic/contact structures
Francois Laudenbach, Gael Meigniez
For some geometries including symplectic and contact structures on an n-dimensional manifold, we introduce a two-step approach to Gromov's h-principle. From formal geometric data,…
Realizing compactly generated pseudo-groups of dimension one
Gaël Meigniez
Many compactly generated pseudo-groups of local transformations on 1-manifolds are realizable as the transverse dynamic of a foliation of codimension 1 on a compact manifold of dim…
Haefliger's codimension-one singular foliations, open books and twisted open books in dimension 3
Francois Laudenbach, Gael Gael Meigniez
We consider singular foliations of codimension one on 3-manifolds, in the sense defined by A. Haefliger as being Gamma_1-structures. We prove that under the obvious linear embeddin…