Examples of noncompact nonpositively curved manifolds

We give a simple construction of new, complete, finite volume manifolds $M$ of bounded, nonpositive curvature. These manifolds have ends that look like a mixture of locally symmetric ends of different ranks and their fundamental groups are not duality groups

Examples of noncompact nonpositively curved manifolds

We give a simple construction of new, complete, finite volume manifolds of bounded, nonpositive curvature. These manifolds have ends that look like a mixture of locally symmetric ends of different ranks and their fundamental groups are not duality groups

An 'imagined geography': ideology, urban space and protest in the creation of Barcelona's 'Chinatown', c.1835-1936.

Henri Lefebvre famously seized upon the duality of the modern city: how for some it is a space of play and liberation, and for others a centre for power and repression. This article explores this duality through an analysis of the changing historical geography of Barcelona's Raval district, an inner-city working-class community and the birthplace of Catalan industrialization. From the 1920s onwards, elite groups and social commentators defined the Raval as Barcelona's “Chinatown”, an imagined geography that continues to influence historical representations of the area. Through a social history of the Raval, it is argued that the “Chinatown” myth served specific political ends, that it formed part of a cultural project to impose a slum myth on Barcelona's most important and most rebellious working class district. The article concludes with an analysis of how this “moral geography” culminated in far-reaching plans for the moral and physical reordering of the Raval for the benefit of urban elites

Hyperbolic ends with particles and grafting on singular surfaces

We prove that any 3-dimensional hyperbolic end with particles (cone singularities along infinite curves of anglesless than \pi) admits a unique foliation by constant Gauss curvature surfaces. Using a form of duality between hyperbolic ends with particles and convex globally hyperbolic maximal (GHM) de Sitter spacetime with particles, it follows that any convex GHM de Sitter spacetime with particles also admits a unique foliation by constant Gauss curvature surfaces. We prove that the grafting map from the product of Teichmüller space with the space of measured laminations to the space of complex projective structures is a homeomorphism for surfaces with cone singularities of angles less than \pi, as well as an analogue when grafting is replaced by “smooth grafting”