Frölicher spectral sequence

In mathematics, the Frölicher spectral sequence (often misspelled as Fröhlicher) 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. It was introduced by Frölicher (1955). A spectral sequence is set up, the degeneration of which would give the results of Hodge theory and Dolbeault's theorem.

See also

• Hodge–de Rham spectral sequence

References

• Frölicher, Alfred (1955), "Relations between the cohomology groups of Dolbeault and topological invariants", Proceedings of the National Academy of Sciences, 41: 641–644, doi:10.1073/pnas.41.9.641, JSTOR 89147, MR 0073262, PMC 528153, PMID 16589720