18 citations · 25 across the 7 of their papers we have counts for
8 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…
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…
h-vectors of generalized associahedra and non-crossing partitions
Christos A. Athanasiadis, Thomas Brady, Jon McCammond +1
A case-free proof is given that the entries of the -vector of the cluster complex , associated by S. Fomin and A. Zelevinsky to a finite root system , count elements of…
Shellability of noncrossing partition lattices
Christos A. Athanasiadis, Thomas Brady, Colum Watt
We give a case-free proof that the lattice of noncrossing partitions associated to any finite real reflection group is EL-shellable. Shellability of these lattices was open for the…