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Simplicial manifolds, bistellar flips and a 16-vertex triangulation of the Poincare homology 3-sphere
KTH, Superseded Departments, Mathematics.ORCID iD: 0000-0002-7497-2764
2000 (English)In: Experimental Mathematics, ISSN 1058-6458, E-ISSN 1944-950X, Vol. 9, no 2, 275-289 p.Article in journal (Refereed) Published
Abstract [en]

We present a computer program based on bistellar operations that provides a useful too I for the construction of simplicial manifolds with few vertices. As an example, we obtain a 16-vertex triangulation of the Poincare homology 3-sphere; we construct an infinite series of non-FL d-dimensional spheres with d + 13 vertices for d greater than or equal to 5; and we show that ifa d-manifold, with d greater than or equal to 5, admits any triangulation on n vertices, it admits a noncombinatorial triangulation on n + 12 vertices.

Place, publisher, year, edition, pages
2000. Vol. 9, no 2, 275-289 p.
Keyword [en]
polytopes, 3-manifolds, number, faces
Identifiers
URN: urn:nbn:se:kth:diva-20014ISI: 000089130800010OAI: oai:DiVA.org:kth-20014DiVA: diva2:338707
Note
QC 20100525Available from: 2010-08-10 Created: 2010-08-10 Last updated: 2017-12-12Bibliographically approved

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Björner, Anders.

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