CELLULARIZATION FOR EXCEPTIONAL SPHERICAL SPACE FORMS AND THE FLAG MANIFOLD OF $SL_3(\mathbb{R})$
Résumé
We construct an explicit equivariant cellular decomposition of the $(4n-1)$-sphere with respect to binary polyhedral groups, and describe the associated cellular homology chain complex.
As a corollary of the binary octahedral case, we deduce an $\mathfrak{S}_3$-equivariant decomposition of the flag manifold of $SL_3(\mathbb{R})$.
Domaines
Topologie algébrique [math.AT]
Origine : Fichiers produits par l'(les) auteur(s)