Lower bound theorem for normal pseudomanifolds

Bhaskar Bagchi, Basudeb Datta

Published 2008-02-26, updated 2012-01-28Version 3

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.