25 citations · 54 across the 13 of their papers we have counts for
13 papers
A structure theorem for irreducible open graph 3-manifolds
Sylvain Maillot
Graph manifolds are a class of compact, orientable 3-manifolds introduced in 1967 by Waldhausen as a generalization of Seifert fibered 3-manifolds. From the point of view of Thurst…
One-ended 3-manifolds without locally finite toric decompositions
Sylvain Maillot
We introduce a class of one-ended open 3-manifolds which can be `recursively' defined from two compact 3-manifolds, and construct examples of manifolds in this class which fail to…
Open 3-manifolds which are connected sums of closed ones
Laurent Bessières, Gérard Besson, Sylvain Maillot
We consider open, oriented 3-manifolds which are infinite connected sums of closed 3-manifolds. We introduce some topological invariants for these manifolds and obtain a classifica…
Deforming 3-manifolds of bounded geometry and uniformly positive scalar curvature
Laurent Bessières, Gérard Besson, Sylvain Maillot +1
We prove that the moduli space of complete Riemannian metrics of bounded geometry and uniformly positive scalar curvature on an orientable 3-manifold is path-connected. This genera…
Long time behaviour of Ricci flow on open 3-manifolds
Laurent Bessières, Gérard Besson, Sylvain Maillot
We study the long time behaviour of Ricci flow with bubbling-off on a possibly noncompact -manifold of finite volume whose universal cover has bounded geometry. As an applicatio…
A class of open surfaces with algorithmically solvable homeomorphism problem
Sylvain Maillot
We introduce a new class of possibly noncompact n-dimensional manifolds without boundary associated to finite data which we call topological automata. This class is large enough to…