Abstract: There is a strong relationship between involutions on compact manifolds and binary codes. Constructions on the side of codes have their counterparts for involutions. Every binary, self-dual code can be obtained from an involution on a 3-dimenional compact manifold with 'maximal' number of isolated fixed points. The code in turn determines the cohomology algebra structure of the manifold. Certain properties of the code are reflected in the geometry of the manifold.

The talk is based on joint work with M. Kreck.