49 citations · 74 across the 9 of their papers we have counts for
10 papers
Triangulating the Permutahedron
Thomas Brady, Emanuele Delucchi, Colum Watt
For a finite irreducible real reflection group, , we triangulate its permutahedron and use this to give an explicit homotopy equivalence between two known classifying spaces for…
Non-crossing partitions and Milnor fibers
Thomas Brady, Michael Falk, Colum Watt
For a finite real reflection group we use non-crossing partitions of type to construct finite cell complexes with the homotopy type of the Milnor fiber of the associated $W…
Climbing elements in finite coxeter groups
Thomas Brady, Aisling Kenny, And Colum Watt
We define the notion of a climbing element in a finite real reflection group relative to a total order on the reflection set and we characterise these elements in the case where th…
Braids, posets and orthoschemes
Tom Brady, Jon McCammond
In this article we study the curvature properties of the order complex of a graded poset under a metric that we call the ``orthoscheme metric''. In addition to other results, we ch…
From Permutahedron to Associahedron
Thomas Brady, Colum Watt
For each finite real reflection group , we identify a copy of the type- simplicial generalised associahedron inside the corresponding simplicial permutahedron. This defines a…
Pure braid subgroups of braided Thompson's groups
Thomas Brady, Jose Burillo, Sean Cleary +1
We describe pure braided versions of Thompson's group F. These groups, and , are subgroups of the braided versions of Thompson's group V, introduced by Brin and Deho…