5 papers · 1 filter
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.