21 citations · 82 across the 9 of their papers we have counts for
5 papers · 1 filter
Automorphisms of the complex of domains
John D. McCarthy, Athanase Papadopoulos
In this paper, we study a flag complex which is naturally associated to the Thurston theory of surface diffeomorphisms for compact connected orientable surfaces with boundary. The…
Injective Simplicial Maps of the Arc Complex
Elmas Irmak, John D. McCarthy
In this paper, we prove that each injective simplicial map of the arc complex of a compact, connected, orientable surface with nonempty boundary is induced by a homeomorphism of th…
Automorphisms of Torelli groups
John D. McCarthy, William R. Vautaw
In this paper, we prove that each automorphism of the Torelli group of a surface is induced by a diffeomorphism of the surface, provided that the surface is a closed, connected, or…
Automorphisms of surface braid groups
Elmas Irmak, Nikolai V. Ivanov, John D. McCarthy
In this paper, we prove that each automorphism of a surface braid group is induced by a homeomorphism of the underlying surface, provided that this surface is a closed, connected,…
On the asphericity of a symplectic M3 x S1
John D. McCarthy
An interesting question in symplectic topology, which was posed by C. H. Taubes, concerns the topology of closed (i.e. compact and without boundary) connected oriented three dimens…