4 citations · 6 across the 8 of their papers we have counts for
10 papers
On the kissing number of hyperbolic surfaces with a small systole
S. Barré, M. Pichot
Parlier proved that there exists a constant such that for any hyperbolic surface of genus with systole the following holds: \[ Kiss(S)\leq U \frac {e^\ell}\ell…
Surgery on Aut(F2)
Sylvain Barre, Mikael Pichot
We study a geometric construction of certain finite index subgroups of Aut(F2).
Pauli matrices and ring puzzles
Sylvain Barre, Mikael Pichot
We study a family of tessellations of the Euclidean plane which are obtained by local developments of algebraic equations satisfied by the Pauli matrices.
A virtual geometric action of a braid group
Sylvain Barre, Mikael Pichot
We study a geometric action on a CAT(0) space of a finite index subgroup of the quotient group of the braid group on 4 strands by its center.
Isomorphisms and parity of complexes of rank 7/4
Sylvain Barre, Mikael Pichot
We study the isomorphism types of simply connected complexes of rank 7/4 using a local invariant called the parity. We show that the parity can be computed explicitly in certain co…
Random group cobordisms of rank 7/4
Sylvain Barre, Mikael Pichot
We construct a model of random groups of rank 7/4, and show that in this model the random group has the exponential mesoscopic rank property.
Surgery on discrete groups
Sylvain Barre, Mikael Pichot
We study constructions of groups, in particular of groups of intermediate rank, which are accessible to surgery techniques.
Random groups and nonarchimedean lattices
Sylvain Barre, Mikael Pichot
We consider models of random groups in which the typical group is of intermediate rank (in particular, it is not hyperbolic). These models are parallel to M. Gromov's well-known co…
An exotic group with the Haagerup property
Sylvain Barre, Mikael Pichot
We prove the Haagerup property for an infinite discrete group constructed using surgery on a Euclidean Tits building of type .
Removing chambers in Bruhat-Tits buildings
Sylvain Barre, Mikael Pichot
We introduce and study a family of countable groups constructed from Euclidean buildings by "removing" suitably chosen subsets of chambers.