Particle Configurations and Coxeter Operads

Suzanne M. Armstrong; Michael Carr; Satyan L. Devadoss; Eric Engler; Ananda Leininger; Michael Manapat

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Particle Configurations and Coxeter Operads

Suzanne M. Armstrong·Michael Carr·Satyan L. Devadoss·Eric Engler·Ananda Leininger·Michael Manapat

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Abstract

There exist natural generalizations of the real moduli space of Riemann spheres based on manipulations of Coxeter complexes. These novel spaces inherit a tiling by the graph-associahedra convex polytopes. We obtain explicit configuration space models for the classical infinite families of finite and affine Weyl groups using particles on lines and circles. A Fulton-MacPherson compactification of these spaces is described and this is used to define the Coxeter operad. A complete classification of the building sets of these complexes is also given, along with a computation of their Euler characteristics.

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BibTeX RIS

Suzanne M. Armstrong, Michael Carr, Satyan L. Devadoss, Eric Engler, Ananda Leininger, Michael Manapat. 2009-03-09. Particle Configurations and Coxeter Operads. https://arxiv.org/abs/math/0502159

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