A Remark on the C–splitting Conjecture
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چکیده
Let M be a closed symplectic manifold and suppose M → P → B is a Hamiltonian fibration. Lalonde and McDuff raised the question whether one always has H∗(P ;Q) = H∗(M ;Q) ⊗ H∗(B;Q) as vector spaces. This is known as the c–splitting conjecture. They showed, that this indeed holds whenever the base is a sphere. Using their theorem we will prove the c–splitting conjecture for arbitrary base B and fibers M which satisfy a weakening of the Hard Lefschetz condition.
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تاریخ انتشار 2008