MathOverflow is a question and answer site for professional mathematicians. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

Are the odd-degree Betti numbers of a compact Almost-Kahler Einstein four manifold necessarily even ?

share|cite|improve this question
If some of Betti numbers were odd this would obviously contradict to Goldberg's conjecture, stating that Almost-Kahler Einstein manifolds are Kahler. I assume Goldberg's conjecture is open in all dimensions? – Dmitri Mar 5 '11 at 10:19
Sorry for the double-retag. I think these tags should work. – Elizabeth S. Q. Goodman Mar 5 '11 at 21:19
this is W. Watson's conjecture, which it seems is still open: (edited "odd" --> "odd-degree" to avoid a contradictio in terminis) – Carlo Beenakker Sep 5 '15 at 10:38

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.