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Generalized Teichmüller space of non-compact 3-manifolds and Mostow rigidity
Charalampos Charitos, Ioannis Papadoperakis
Consider a 3dimensional manifold obtained by gluing a finite number of ideal hyperbolic tetrahedra via isometries along their faces. By varying the isometry type of each tet…
Essential disks and semi-essential surfaces in 3-manifolds
Charalampos Charitos, Ulrich Oertel
If M is a manifold with compressible boundary, we analyze essential disks in M, as well as incompressible, but not necessarily boundary incompressible, surfaces in M. We are most i…
On the Mapping class group of a genus 2 handlebody
Charalampos Charitos, Ioannis Papadoperakis, Georgios Tsapogas
A complex of incompressible surfaces in a handlebody is constructed so that it contains, as a subcomplex, the complex of curves of the boundary of the handlebody. For genus 2 handl…