On stacked triangulated manifolds

Basudeb Datta, Satoshi Murai

Research output: Contribution to journalArticlepeer-review

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 ≥ 4, if Δ is a tight connected closed homology d-manifold whose ith 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.

Original languageEnglish
Article number#P4.12
JournalElectronic Journal of Combinatorics
Volume24
Issue number4
DOIs
Publication statusPublished - 2017 Oct 6

Keywords

  • Stacked manifolds
  • Tight triangulations
  • Triangulations of 3-manifolds

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics
  • Computational Theory and Mathematics
  • Applied Mathematics

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