The Cohomology of the Complex of G-Invariant Forms onG -Manifolds. II |
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Authors: | Mark V. Losik |
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Affiliation: | (1) Saratov State University, Astrakhanskaya 83, 410056 Saratov, Russia |
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Abstract: | The cohomology of G-manifolds of the type M=P×K(G/H), where G is a reductive Lie group, H and N are its closed subgroups, H is a normal subgroup of N, K=N/H, and P is a smooth principal K-bundle, are considered. In the case when the Lie algebras of H and N are reductive, the differential graded algebra C(M) introduced in the previous paper with the same title and having the same minimal model as one of the algebra of G-invariant forms on M is investigated. Moreover, the main theorem on the cohomology algebra of C(M) is proved under weaker conditions than those of the previous paper. |
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Keywords: | cohomology fiber bundle G-manifold spectral sequence |
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