"Spin Manifolds, Einstein metrics, and Differential Topology"
SUNY Stony Brook
Wednesday, October 10
2:30-3:30 pm, Room 4422
I will show that there exist smooth, simply connected,
four-dimensional spin manifolds which do not admit Einstein metrics, but
nonetheless satisfy the strict Hitchin-Thorpe inequality.
The same methods also allow one to easily construct
many topological 4-manifolds which admit an Einstein
metric for one smooth structure, but which have
infinitely many other smooth structures for which no
Einstein metric can exist.
claude@math.sunysb.edu
http://www.math.sunysb.edu/~claude/