K(π, 1) for Artin Groups of Finite Type
By Colum Watt, Tom D. Brady. 2002
78 citations recorded by the source corpus.
Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/7c7eef8e04d2dbc63ef8956d51ccb322ab38a3ad
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Discrete Mathematics and Combinatorics
- Ruth Charney
- Nathan Reading
- Jon McCammond
- Michelle L. Wachs
- Dany Margalit
- David E. Speyer
- Hugh Thomas
- Vincent Pilaud
In Geometry and Topology
- Dany Margalit
- Jon McCammond
- Ruth Charney
- Nathan Reading
- Michelle L. Wachs
- Jason A. Behrstock
- David E. Speyer
- Hugh Thomas
Citations in the corpus
- Braids, posets and orthoschemes (2009, unknown): “finite Coxeter groups in [5].”
- An introduction to right-angled Artin groups (2006, background): “(1) There exist finite K (A, 1)-spaces [16,27].”
- GEOMETRIC PRESENTATIONS FOR THE PURE BRAID GROUP (2006, background): “In 1998, Birman, Ko, and Lee [7] gave a more symmetrical presentation for the braid group on a larger generating set that has become fashionable of late (see, for example, [4], [9], [10], or [13]).”
- Poset Topology: Tools and Applications (2006, methodology): “This observation (and connections to finite type Artin groups) led Bessis [17] and Brady and Watt [49] to define the noncrossing partition poset for any finite Coxeter group to be the interval [e, c] of W , where c is a Coxeter element of (W,S).”
- Noncrossing partitions and the shard intersection order (2009, background): “Work of Athanasiadis, Bessis, Biane, Brady, Reiner and Watt [2, 5, 6, 11, 40] led to the recognition that the classical noncrossing partitions are a special case (W = Sn) of a combinatorial construction which yields a noncrossing partition lattice NC(W) for each finite Coxeter group W .”