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2000 Simplicial manifolds, bistellar flips and a 16-vertex triangulation of the Poincaré homology 3-sphere
Anders Björner, Frank H. Lutz
Experiment. Math. 9(2): 275-289 (2000).

Abstract

We present a computer program based on bistellar operations that provides a useful tool for the construction of simplicial manifolds with few vertices. As an example, we obtain a 16-vertex triangulation of the Poincaré homology 3-sphere; we construct an infinite series of non-PL d-dimensional spheres with d+13 vertices for $d\geq 5$; and we show that if a d-manifold, with $d\ge 5$, admits any triangulation on n vertices, it admits a noncombinatorial triangulation on n+12 vertices.

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Anders Björner. Frank H. Lutz. "Simplicial manifolds, bistellar flips and a 16-vertex triangulation of the Poincaré homology 3-sphere." Experiment. Math. 9 (2) 275 - 289, 2000.

Information

Published: 2000
First available in Project Euclid: 22 February 2003

zbMATH: 1101.57306
MathSciNet: MR1780212

Subjects:
Primary: 57Q15
Secondary: 57-04 , 57M15 , 57Q25

Rights: Copyright © 2000 A K Peters, Ltd.

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Vol.9 • No. 2 • 2000
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