Strongly minimal triangulations of (S (3) x S (1))(#3) and (S (3) x S (1))(#3)

Singh, Nitin (2015) Strongly minimal triangulations of (S (3) x S (1))(#3) and (S (3) x S (1))(#3). In: UNSPECIFIED, FEB 2015, pp. 79-102.

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Abstract

A triangulated d-manifold K, satisfies the inequality for da parts per thousand yen3. The triangulated d-manifolds that meet the bound with equality are called tight neighbourly. In this paper, we present tight neighbourly triangulations of 4-manifolds on 15 vertices with as an automorphism group. One such example was constructed by Bagchi and Datta (Discrete Math. 311 (citeyearbd102011) 986-995). We show that there are exactly 12 such triangulations up to isomorphism, 10 of which are orientable.

Item Type:	Conference Proceedings
Publication:	PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES
Series.:	PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES
Publisher:	INDIAN ACAD SCIENCES
Additional Information:	Copy right for this article belongs to the INDIAN ACAD SCIENCES, C V RAMAN AVENUE, SADASHIVANAGAR, P B #8005, BANGALORE 560 080, INDIA
Keywords:	Stacked sphere; tight neighbourly triangulation; minimal triangulation
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	06 May 2015 05:25
Last Modified:	06 May 2015 05:25
URI:	http://eprints.iisc.ac.in/id/eprint/51496

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