14 citations · 14 across the 8 of their papers we have counts for
8 papers
The Hamiltonian surface of $\Aut(F_2)$
Sylvain Barré, Mikaël Pichot
The group of automorphisms of the free group on two generators is known to act geometrically, in an essentially unique way, on a 2-dimensional CAT(0) space X. We prove that X conta…
On the classification of CW complexes with prescribed links
Sylvain Barré, Mikaël Pichot
Reporting on a computer--assisted search for nonpositively curved CW complexes of intermediate rank conducted some years ago. Not intended for publication.
The odd triangle ring puzzle problem
Sylvain Barré, Othmane Oukrid, Mikaël Pichot
Ring puzzles are tessellations of the Euclidean plane respecting local constraints around vertices. Such puzzles may arise in geometric group theory, for example, as embedded flat…
Sidon sequences and nonpositive curvarture
Sylvain Barré, Mikaël Pichot
A sequence of nonnegative integers is called a Sidon sequence if the sums of pairs are all different. In this paper we construct CAT(0) groups and sp…
Root distributions in Moebius-Kantor complexes
Sylvain Barré, Mikaël Pichot
We study the distribution of roots of rank 2 in nonpositively curved 2-complexes with Moebius--Kantor links. For every face in such a complex, the parity of the number of roots of…
The 4-string Braid group has property RD and exponential mesoscopic rank
Sylvain Barré, Mikael Pichot
We prove that the braid group on 4 strings, as well as its central quotient , have the property RD of Haagerup-Jolissaint. It follows that the automorphism group $\…
Intermediate rank and property RD
Sylvain Barré, Mikael Pichot
We introduce concepts of intermediate rank for countable groups that "interpolate" between consecutive values of the classical (integer-valued) rank. Various classes of groups are…
Real and discrete holomorphy : Introduction to an algebraic approach
Sylvain Barré, Abdelghani Zeghib
We consider spaces for which there is a notion of harmonicity for complex valued functions defined on them. For instance, this is the case of Riemannian manifolds on one hand, and…