Analyzes the degeneration of spectral sequences in harmonic forms related to abelian Lie groups, suggesting implications for geometry.
We give an upper bound on the number of the page on which the spectral sequence corresponding to a locally free isometric action of an abelian Lie group degenerates. We give examples showing that these bounds are indeed sharp. Finally, we further justify the study of this sequence by exhibiting a potential application to the study of harmonic forms.
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Paweł Raźny (2026) studied this question.
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