Leray’s theory of residues
Division and derivatives of differential forms. The residue theorem in the case of a simple pole, Leray coboundary. The residue theorem in the case of a multiple pole. Relation with the notion of the derivative of a form. Composed residues, skew symmetry of the composed coboundary, calculation of composed residues. Generalization to relative homology.
KeywordsCohomology Class Simple Pole Residue Class Local Equation Residue Theorem
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