Aleksandar Milivojevic, Stony Brook

Title: Spin^h and some further generalizations of spin

Abstract: Beyond spin and spin^c there is the somewhat
less studied concept of a spin^h structure. We will identify the
primary obstruction to admitting such a structure and determine in
which dimensions orientable manifolds are guaranteed to be spin^h.
This will naturally lead us to consider a sequence of
generalized spin structures and to answer the question of whether
there is a universal constant k such that every orientable manifold
admits a codimension k immersion in a spin manifold.