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- W4298339282 abstract "A centrally symmetric $2d$-vertex combinatorial triangulation of the product of spheres $S^itimesS^{d-2-i}$ is constructed for all pairs of non-negative integers $i$ and $d$ with $0leq i leq d-2$. For the case of $i=d-2-i$, the existence of such a triangulation was conjectured by Sparla. The constructed complex admits a vertex-transitive action by a group of order $4d$. The crux of this construction is a definition of a certain full-dimensional subcomplex, $B(i,d)$, of the boundary complex of the $d$-dimensional cross-polytope. This complex $B(i,d)$ is a combinatorial manifold with boundary and its boundary provides a required triangulation of $S^itimesS^{d-i-2}$. Enumerative characteristics of $B(i,d)$ and its boundary, and connections to another conjecture of Sparla are also discussed." @default.
- W4298339282 created "2022-10-02" @default.
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- W4298339282 date "2011-02-02" @default.
- W4298339282 modified "2023-09-30" @default.
- W4298339282 title "Centrally symmetric manifolds with few vertices" @default.
- W4298339282 doi "https://doi.org/10.48550/arxiv.1102.0542" @default.
- W4298339282 hasPublicationYear "2011" @default.
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