On stacked triangulated manifolds

Datta, Basudeb and Murai, Satoshi (2017) On stacked triangulated manifolds. In: ELECTRONIC JOURNAL OF COMBINATORICS, 24 (4).

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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 Delta is a tight connected closed homology d-manifold whose ith homology vanishes for 1 < i < d - 1, then Delta is a stacked triangulation of a manifold.These results give affirmative answers to questions posed by Novik and Swartz and by Effenberger.

Item Type:	Journal Article
Publication:	ELECTRONIC JOURNAL OF COMBINATORICS
Additional Information:	Copy right for this article belongs to the ELECTRONIC JOURNAL OF COMBINATORICS, C/O FELIX LAZEBNIK, RM 507, EWING HALL, UNIV DELAWARE, DEPT MATHEMATICAL SCIENCES, NEWARK, DE 19716 USA
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	01 Dec 2017 06:43
Last Modified:	01 Dec 2017 06:43
URI:	http://eprints.iisc.ac.in/id/eprint/58357

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