7 citations · 18 across the 14 of their papers we have counts for
4 papers · 1 filter
Fundamental racks of braid spaces of complex reflection groups
Tathagata Basak
Let be a complex reflection group acting on the complex affine or hyperbolic space with the set of reflecting hyperplanes . We define an augmented rack $(G, \m…
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…
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…