Rational cohomology of the free loop space of a simply connected 4-manifold (Q1950311)
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scientific article; zbMATH DE number 6162211
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Rational cohomology of the free loop space of a simply connected 4-manifold |
scientific article; zbMATH DE number 6162211 |
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Rational cohomology of the free loop space of a simply connected 4-manifold (English)
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13 May 2013
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In this paper A. Yu. Onishchenko and Th. Yu. Popelensky compute the rational cohomology of the free loop space for a simply connected closed 4-dimensional manifold. Their main tool it the Sullivan theory of minimal models and the Vigué-Sullivan model for the free loop space. The authors use a Serre spectral sequence in models to obtain an explicit and complete formula for the Poincaré series of the free loop space with the second Betti number as a parameter.
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free loop space
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rational homotopy
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Sullivan model
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0.9549905
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0.90810317
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0.9025142
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0.9020477
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