Four-manifolds without Einstein metrics
Claude LeBrun
(SUNY/Stony Brook)
Sunday, May 5
9:30AM
It is shown that there are infinitely many compact
simply connected smooth 4-manifolds which do not
admit Einstein metrics, but nevertheless satisfy
the strict Hitchin-Thorpe inequality. The examples
in question arise as non-minimal complex algebraic
surfaces of general type, and the method of proof stems
from Seiberg-Witten theory.
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Back to
Spring 1996 meeting of the PNGS.
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Jack Lee <lee@math.washington.edu>.