Abstract
AbstractLet (W, S) be a Coxeter system. We introduce the boolean complex of involutions of W which is an analogue of the boolean complex of W studied by Ragnarsson and Tenner. By applying discrete Morse theory, we determine the homotopy type of the boolean complex of involutions for a large class of (W, S), including all finite Coxeter groups, finding that the homotopy type is that of a wedge of spheres of dimension $$\vert S\vert -1$$
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. In addition, we find simple recurrence formulas for the number of spheres in the wedge.
Publisher
Springer Science and Business Media LLC
Subject
Discrete Mathematics and Combinatorics
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