A characterization of tightly triangulated 3-manifolds

Bagchi, Bhaskar and Datta, Basudeb and Spreer, Jonathan (2017) A characterization of tightly triangulated 3-manifolds. In: EUROPEAN JOURNAL OF COMBINATORICS, 61 . pp. 133-137.

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Abstract

For a field F, the notion of F-tightness of simplicial complexes was introduced by Kuhnel. Kuhnel and Lutz conjectured that F-tight triangulations of a closed manifold are the most economic of all possible triangulations of the manifold. The boundary of a triangle is the only F-tight triangulation of a closed 1-manifold. A triangulation of a closed 2-manifold is F-tight if and only if it is F-orientable and neighbourly. In this paper we prove that a triangulation of a closed 3-manifold is F-tight if and only if it is F-orientable, neighbourly and stacked. In consequence, the Kuhnel-Lutz conjecture is valid in dimension <= 3. (C) 2016 Elsevier Ltd. All rights reserved.

Item Type:	Journal Article
Publication:	EUROPEAN JOURNAL OF COMBINATORICS
Additional Information:	Copy right for this article belongs to the ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD, 24-28 OVAL RD, LONDON NW1 7DX, ENGLAND
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	28 Feb 2017 10:10
Last Modified:	28 Feb 2017 10:10
URI:	http://eprints.iisc.ac.in/id/eprint/56278

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