On stacked triangulated manifolds

Basudeb Datta; Satoshi Murai

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arXiv · 1407.6767

On stacked triangulated manifolds

Basudeb Datta·Satoshi Murai

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Abstract

We prove two results on stacked triangulated manifolds in this paper: (a) every stacked triangulation of a connected manifold with or without boundary is obtained from a simplex or the boundary of a simplex by certain combinatorial operations; (b) in dimension $d \geq 4$, if $Δ$ is a tight connected closed homology $d$-manifold whose $i$th homology vanishes for $1 < i < d-1$, then $Δ$ is a stacked triangulation of a manifold.These results give affirmative answers to questions posed by Novik and Swartz and by Effenberger.

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Basudeb Datta, Satoshi Murai. 2016-06-15. On stacked triangulated manifolds. https://arxiv.org/abs/1407.6767

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