Mcfeely Jackson Goodman, UC Berkeley

Title: Moduli spaces of nonnegatively curved metrics on exotic spheres.

Abstract: We show that the moduli space of nonnegatively curved
metrics on a manifold homeomorphic to S⁷ has infinitely many path
components. The components are distinguished using the Kreck-Stolz
s-invariant computed for metrics constructed by Goette, Kerin and
Shankar. The inariant is computed by extending the metrics to the
total space of an orbifold disc bundle and applying generalizations of
the Atiyah-Patodi-Singer index theorem for orbifolds with boundary.