10 citations · 14 across the 7 of their papers we have counts for
7 papers
Dynamical Morse entropy
Mélanie Bertelson, Misha Gromov
We consider actions of a tileable amenable group on a topological space . For a continuous function on , we define the entropy of the number of homologically detectable c…
PL approximations of symplectic manifolds
Mélanie Bertelson, Julie Distexhe
This paper is a contribution to piecewise linear (PL) symplectic topology. We define the notion of PL symplectic manifold as being a combinatorial manifold endowed with a piecewise…
Conformal Symplectic structures, Foliations and Contact Structures
Melanie Bertelson, Gael Meigniez
This paper presents two existence h-principles, the first for conformal symplectic structures on closed manifolds, and the second for leafwise conformal symplectic structures on fo…
A correspondence between a class of cone structures and contact forms
Mélanie Bertelson, Cédric De Groote
In the spirit of Sullivan's paper "Cycles for the Dynamical Study of Foliated Manifolds and Complex Manifolds", existence of a contact structure on a closed manifold is shown t…
Affine connections and symmetry jets
Mélanie Bertelson, Pierre Bieliavsky
We establish a bijective correspondence between affine connections and a class of semi-holonomic jets of local diffeomorphisms of the underlying manifold called symmetry jets in th…
A h-principle for open relations invariant under foliated isotopies
Melanie Bertelson
This paper presents a natural extension to foliated spaces of the following result due to Gromov : the h-principle for open, invariant differential relations is valid on open manif…