Fröhlicher spectral sequence

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In mathematics, the Fröhlicher spectral sequence is a tool in the theory of complex manifolds, for expressing the potential failure of the results of cohomology theory that are valid in general only for Kähler manifolds. A spectral sequence is set up, the degeneration of which would give the results of Hodge theory and Dolbeault's theorem.

[edit] References

• A. Fröhlicher, Relations between the cohomology groups of Dolbeault and topological invariants, Proc. Nat. Acad. Sci. U.S.A., 41 (1955), 641-644