We will start by describing Khovanov's categorification of the Jones
polynomial from a cube of resolutions of a link diagram. We will then
introduce the notion of a framed flow category, as defined by Cohen,
Jones and Segal. We will see how a cube of resolutions produces a
framed flow category for the Khovanov chain complex, and how the
framed flow category produces a space whose reduced cohomology is the
Khovanov homology. We will show that the stable homotopy type of the
space is a link invariant. Time permitting, we will show that the
space is often non-trivial, i.e., not a wedge sum of Moore spaces.
This work is joint with Robert Lipshitz.