Non-existence of 6-dimensional pseudomanifolds with complementarity

Bagchi, Bhaskar and Datta, Basudeb (2004) Non-existence of 6-dimensional pseudomanifolds with complementarity. In: Advances in Geometry, 4 (4). pp. 537-550.

PDF Non-existence.pdf Restricted to Registered users only Download (150kB) | Request a copy

Abstract

Abstract. In a previous paper ([10]) the second author showed that if M is a pseudomanifold with complementarity other than the 6-vertex real projective plane and the 9-vertex complex projective plane, then M must have dimension \ge 6, and-in case of equality-M must have exactly 12 vertices. In this paper we prove that such a 6-dimensional pseudomanifold does not exist. On the way to proving our main result we also prove that all combinatorial triangulations of the 4-sphere with at most 10 vertices are combinatorial 4-spheres.

Item Type:	Journal Article
Publication:	Advances in Geometry
Publisher:	de Gruyter
Additional Information:	Copyright of this article belongs to de Gruyter.
Keywords:	pseudomanifolds;combinatorial triangulations;collapsible simplicial complexes;complementarity;piecewise-linear manifolds
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	20 Feb 2008
Last Modified:	19 Sep 2010 04:18
URI:	http://eprints.iisc.ac.in/id/eprint/2708

Actions (login required)

View Item