Timeline for Hodge decomposition of a symplectic form.

5 events

when toggle format	what		by	license	comment
Dec 18, 2011 at 8:00	vote	accept	Mirjana
Dec 18, 2011 at 8:00
Dec 7, 2011 at 8:10	history	edited	yael fregier	CC BY-SA 3.0	added 2 characters in body
Dec 6, 2011 at 14:53	comment	added	Mirjana		Ok, here is the definition of special symplectic manifold: A special symplectic manifold (M,J,∇,ω)is a special complex manifold (M,J,\nabla) together with a \nabla−parallel symplectic structure \omega. And there is a theorem(Hodge decomposition)which asserts that \Omega^{k}=Im d_{k-1} + Im \delta_{k+1} + \Delta_{k},where \Omega^{k}is a set of all k−forms,d_{k}maps \Omega^{k} to Ω^{k+1}, δ^{k}=∗ d ∗ maps Ω^{k} to Ω^{k−1}, where ∗ is Hodge star operator. \Delta_{k} is the space of k-harmonic forms.
Dec 6, 2011 at 14:21	comment	added	Spiro Karigiannis		You can't edit comments, so it's best to write it in a separate TeX editor, check that it looks good, and then paste it in. You can then delete your previous comments.
Dec 6, 2011 at 13:28	history	answered	yael fregier	CC BY-SA 3.0