Arthur Garnier

activity

20202025

most citedEquivariant triangulations of tori of compact Lie groups and hyperbolic extension to non-crystallographic Coxeter groups

2 citations · 4 across the 6 of their papers we have counts for

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math.AT2024

Fundamental polytope for the Weyl group acting on a maximal torus of a compact Lie group

Arthur Garnier

We provide a fundamental domain for the action of the finite Weyl group on a maximal torus of a compact Lie group of the corresponding type. The general situation is reduced to the…

math.AT2021★ 2 cited

Equivariant triangulations of tori of compact Lie groups and hyperbolic extension to non-crystallographic Coxeter groups

Arthur Garnier

Given a simple connected compact Lie group $K$ and a maximal torus $T$ of $K$ , the Weyl group $W = N_{K} (T) / T$ naturally acts on $T$ . First, we use the combinatorics of the (extended)…

math.AT2020★ 2 cited

Cellularization for exceptional spherical space forms and the flag manifold of $S L_{3} (R)$

Rocco Chirivi, Arthur Garnier, Mauro Spreafico

We construct an explicit equivariant cellular decomposition of the $(4 n - 1)$ -sphere with respect to binary polyhedral groups, and describe the associated cellular homology chain com…

Fundamental polytope for the Weyl group acting on a maximal torus of a compact Lie group

Equivariant triangulations of tori of compact Lie groups and hyperbolic extension to non-crystallographic Coxeter groups

Cellularization for exceptional spherical space forms and the flag manifold of SL3​(R)

Cellularization for exceptional spherical space forms and the flag manifold of $S L_{3} (R)$