Presentations of the braid group of the complex reflection group G(d,d,n)
Abstract
Abstract We show that the braid group associated to the complex reflection group is an index subgroup of the braid group of the orbifold quotient of the complex numbers by a cyclic group of order . We also give a compatible presentation of and its braid group for each tagged triangulation of the disk with marked points on its boundary and an interior marked point (interpreted as a cone point of degree ) in such a way that the presentations of Broué–Malle–Rouquier correspond to a special tagged triangulation.
Fields of Study & Subjects
Geometric and Algebraic Topology
Advanced Algebra and Geometry
Geometry and complex manifolds
Publication details
- Journal / source
- Journal of the London Mathematical Society
- Volume
- 113
- Issue
- 4
- Publication date
- 1 April 2026
- Language
- EN