Mokhov, O. I. On the cohomology groups of complexes of homogeneous forms on loop spaces of smooth manifolds. (English. Russian original) Zbl 0933.58025 Funct. Anal. Appl. 32, No. 3, 162-171 (1998); translation from Funkts. Anal. Prilozh. 32, No. 3, 22-34 (1998). Arbitrary homogeneous forms on loop spaces of smooth manifolds are introduced, complexes of the homogeneous forms are constructed, and their cohomology groups are found for a number of important cases. Reviewer: N.Papaghiuc (Iaşi) MSC: 58J10 Differential complexes 55Q55 Cohomotopy groups 58A10 Differential forms in global analysis 58D15 Manifolds of mappings Keywords:cohomology group; homogeneous form; loop space; complex PDFBibTeX XMLCite \textit{O. I. Mokhov}, Funct. Anal. Appl. 32, No. 3, 162--171 (1998; Zbl 0933.58025); translation from Funkts. Anal. Prilozh. 32, No. 3, 22--34 (1998) Full Text: DOI References: [1] Mokhov, O. 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