Presented by: 
Nitin Singh, Indian Institute of Science, Bangalore
Date: 
Tue 11 Mar, 3:00 pm - 4:00 pm
Venue: 
Building 67, Room 442

We give an explicit construction of vertex-transitive tight triangulations of d-manifolds for d > 1. More explicitly, for each d > 1, we construct two (d^2 + 5d + 5)-vertex neighborly triangulated d-manifolds whose vertex-links are stacked spheres. The only other non-trivial series of such tight triangulated manifolds currently known is the series of non-simply connected triangulated d-manifolds with 2d+3 vertices constructed by Kuehnel. The manifolds we construct are strongly minimal. For d > 2, they are also tight neighborly as defined by Lutz, Sulanke and Swartz. Like Kuehnel's complexes, our manifolds are orientable in even dimensions and non-orientable in odd dimensions.

This is joint work with Basudeb Datta