We construct an explicit equivariant cellular decomposition of the (4n−1)-sphere with respect to binary polyhedral groups, and describe the associated cellular chain complex. As a corollary of the binary octahedral case, we deduce an S3-equivariant decomposition of the flag manifold of SL3(R).
Cellularization for exceptional spherical space forms and the flag manifold of SL3(R) / Chirivì, Rocco; Garnier, Arthur; Spreafico, Mauro. - In: EXPOSITIONES MATHEMATICAE. - ISSN 0723-0869. - 40:3(2022), pp. 572-604. [10.1016/j.exmath.2022.02.001]
Cellularization for exceptional spherical space forms and the flag manifold of SL3(R)
Mauro Spreafico
2022-01-01
Abstract
We construct an explicit equivariant cellular decomposition of the (4n−1)-sphere with respect to binary polyhedral groups, and describe the associated cellular chain complex. As a corollary of the binary octahedral case, we deduce an S3-equivariant decomposition of the flag manifold of SL3(R).File in questo prodotto:
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