On the Mapping class group of a genus 2 handlebody

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 handlebodies, the group of automorphisms of this complex is used to characterize the mapping class group of the handlebody. In particular, it is shown that all automorphisms of the complex of incompressible surfaces are geometric, that is, induced by a homeomorphism of the handlebody

Review of Lina Venturas and Lambros Balsiotis (eds), Το έθνος πέραν των συνόρων: «Ομογενειακές» πολιτικές του ελληνικού κράτους [The nation beyond borders: the ‘diaspora’ policies of the Greek state]

Lina Venturas and Lambros Baltsiotis (eds), Το έθνος πέραν των συνόρων: «Ομογενειακές» πολιτικές του ελληνικού κράτους [The nation beyond borders: the ‘diaspora’ policies of the Greek state], Vivliorama: Athens, 2013. 510 p

Expanding endomorphisms of crystallographic manifolds

AbstractLet Γ be a crystallographic group with associated exact sequence 0→A→Γ→G→1, and let MΓ be the flat crystallographic manifold (i.e., the G-equivariant torus RnA associated to Γ. We construct a new crystallographic group Δ, a quotient of ΓAc, where Ac is the sum of all 1-dimensional G-submodules of A. Then we generalize the results of D. Epstein and M. Shub (1968) by showing the existence of equivariant endomorphisms of MΓ which expand distances in certain directions transverse to the fibers of the map MΓ→MΔ. The existence of such expanding maps is of interest to the study of the K-theory as well as the controlled K-theory of Γ

Review of Lina Venturas and Lambros Balsiotis (eds), Το έθνος πέραν των συνόρων: «Ομογενειακές» πολιτικές του ελληνικού κράτους [The nation beyond borders: the ‘diaspora’ policies of the Greek state]

Lina Venturas and Lambros Baltsiotis (eds), Το έθνος πέραν των συνόρων: «Ομογενειακές» πολιτικές του ελληνικού κράτους [The nation beyond borders: the ‘diaspora’ policies of the Greek state], Vivliorama: Athens, 2013. 510 p