Lower bound theorem for normal pseudomanifolds
Geometric Topology
2012-01-31 v3 Combinatorics
Abstract
In this paper we present a self-contained combinatorial proof of the lower bound theorem for normal pseudomanifolds, including a treatment of the cases of equality in this theorem. We also discuss McMullen and Walkup's generalised lower bound conjecture for triangulated spheres in the context of the lower bound theorem. Finally, we pose a new lower bound conjecture for non-simply connected triangulated manifolds.
Cite
@article{arxiv.0802.3747,
title = {Lower bound theorem for normal pseudomanifolds},
author = {Bhaskar Bagchi and Basudeb Datta},
journal= {arXiv preprint arXiv:0802.3747},
year = {2012}
}
Comments
25 pages, Final/Published version, Appeared in `Expositiones Mathematicae'