AbstractThe topological group of homeomorphisms of d-dimensional Euclidean space is a basic object in geometric topology, closely related to understanding the difference between diffeomorphisms and homeomorphisms of all d-dimensional manifolds (except when d=4). I will explain some methods that have been used for studying the algebraic topology of this group, and report on a recently obtained c...
AbstractThere is a large class of Kaluza-Klein type spaces given by the Cartesian product of $1+n$ dimensional Minkowski space with a Ricci-flat Riemannian manifold, called the internal space. These are solutions of the Einstein equation. We will refer to these as SUSY spacetimes. These spaces are stable as solutions of the Einstein equation when $n$ is sufficiently large. The argument uses the...
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