Sui complessi di celle privilegiati in una traslazione piana generalizzata
Sur le bord de Thurston de l'espace de Teichmüller d'une surface non compacte.
Sur les feuilletages mesurés arationnels
Surfaces and the Second Homology of a Group.
Surfaces et cohomologie bornée.
Symmetric, cyclic, and permutation products of manifolds [Book]
The abelianization of the Johnson kernel
We prove that the first complex homology of the Johnson subgroup of the Torelli group is a non-trivial, unipotent -module for all and give an explicit presentation of it as a -module when . We do this by proving that, for a finitely generated group satisfying an assumption close to formality, the triviality of the restricted characteristic variety implies that the first homology of its Johnson kernel is a nilpotent module over the corresponding Laurent polynomial ring, isomorphic to the...
The boundary-Wecken classification of surfaces.
The Characteristic Toric Splitting of Irreducible Compact 3-Orbifolds.
The Classification of Maps of Nonorietable Surfaces.
The classiflcation of maps of surfaces.
The Degree of a Map Between Surfaces.
The Dynamical Complexity of Orientation Reversing Homeomorphisms of Surfaces.
The extension of Johnson's homomorphism form the Torelli group to the mapping class group.
The fundamental groups of subsets of closed surfaces inject into their first shape groups.
The genus of PSl2 (q).
The homotopy dimension of codiscrete subsets of the 2-sphere 𝕊²
Andreas Zastrow conjectured, and Cannon-Conner-Zastrow proved, that filling one hole in the Sierpiński curve with a disk results in a planar Peano continuum that is not homotopy equivalent to a 1-dimensional set. Zastrow's example is the motivation for this paper, where we characterize those planar Peano continua that are homotopy equivalent to 1-dimensional sets. While many planar Peano continua are not homotopy equivalent to 1-dimensional compacta, we prove that each has fundamental group that...
The Kazhdan property of the mapping class group of closed surfaces and the first cohomology group of its cofinite subgroups.
The Second Homology Group of the Mapping Class Group of an Orientable Surface.
The virtual cohomological dimension of the mapping class group of an orientable surface.