4 papers
Geometry of the tetrahedron space
Eric Babson, Paul E. Gunnells, Richard Scott
Let X^{circ} be the space of all labeled tetrahedra in P^{3}. In [BGS] we constructed a smooth symmetric compactification X-tilde of X^{circ}. In this article we show that the comp…
Fundamental Groups of Blow-ups
M. Davis, T. Januszkiewicz, R. Scott
Many examples of nonpositively curved closed manifolds arise as blow-ups of projective hyperplane arrangements. If the hyperplane arrangement is associated to a finite reflection g…
Small Covers of the Dodecahedron and the 120-cell
A. Garrison, R. Scott
Let P be the right-angled dodecahedron or 120-cell in hyperbolic space, and let W be the group generated by reflections across codimension-one faces of P. We prove that if Gamma is…
A smooth space of tetrahedra
Eric Babson, Paul E. Gunnells, Richard Scott
We construct a smooth symmetric compactification of the space of all labeled tetrahedra in P^3.