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.DG2020

Dirichlet-Voronoi domain and injectivity radius of flag manifolds -- equivariant cell structure on $O (3) / O (1)^{3}$

Arthur Garnier

In the first part of this work, we study Dirichlet--Voronoi domains for discrete isometry groups of Riemannian manifolds, in view of constructing cell structures on homogeneous (co…

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…

Dirichlet-Voronoi domain and injectivity radius of flag manifolds -- equivariant cell structure on O(3)/O(1)3

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

Dirichlet-Voronoi domain and injectivity radius of flag manifolds -- equivariant cell structure on $O (3) / O (1)^{3}$

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