Posted in
Speaker:
Jim Davis
Affiliation:
Indiana U/MPI
Date:
Mon, 26/04/2010 - 15:00 - 16:00
Location:
MPIM Lecture Hall
Parent event:
Topics in Topology Brieskorn varietes admit $S^1$-actions whose isotropy groups are finite. Choose a Brieskorn variety diffeomorphic to a sphere and an odd prime p which is relatively prime to the order of all isotropy groups. Then the orbit space of the induced $Z/p$-action is a homotopy lens space -- a closed manifold homotopy equivalent to a lens space. A homotopy lens space is fake if it is not homeomorphic to a classical lens space. Using Reidemeister torsion, we show some of these homotopy lens spaces are fake lens spaces.
© MPI f. Mathematik, Bonn | Impressum & Datenschutz |