25 citations · 146 across the 36 of their papers we have counts for
6 papers · 1 filter
The Deligne-Mostow 9-ball, and the monster
Daniel Allcock, Tathagata Basak
The "monstrous proposal" of the first author is that the quotient of a certain 13-dimensional complex hyperbolic braid group, by the relations that its natural generators have orde…
Generators for a complex hyperbolic braid group
Daniel Allcock, Tathagata Basak
We give generators for a certain complex hyperbolic braid group. That is, we remove a hyperplane arrangement from complex hyperbolic -space, take the quotient of the remaining…
Spherical space forms revisited
Daniel Allcock
We give a simplified proof of J. A. Wolf's classification of finite groups that can act freely and isometrically on a round sphere of some dimension. We slightly improve the classi…
Geometric generators for braid-like groups
Daniel Allcock, Tathagata Basak
We study the problem of finding generators for the fundamental group G of a space of the following sort: one removes a family of complex hyperplanes from n dimensional complex vect…
Completions, branched covers, Artin groups and singularity theory
Daniel Allcock
We study the curvature of metric spaces and branched covers of Riemannian manifolds, with applications in topology and algebraic geometry. Here curvature bounds are expressed in te…
Braid pictures for Artin groups
Daniel Allcock
We define the braid groups of a two-dimensional orbifold and introduce conventions for drawing braid pictures. We use these to realize the Artin groups associated to the spherical…