On conjectures of Mathai and Borel (Q1771150)
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scientific article; zbMATH DE number 2153893
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On conjectures of Mathai and Borel |
scientific article; zbMATH DE number 2153893 |
Statements
On conjectures of Mathai and Borel (English)
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7 April 2005
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It was conjectured by Mathai that the Cheeger-Gromov invariant \(\rho_{(2)} = \eta_{(2)}-\eta\) is a homotopy invariant of closed manifolds with torsion free fundamental group. This paper proves the conjecture assuming the rational Borel conjecture that the assembly map \(\alpha: \, H_*(B\Gamma,Q) \rightarrow L_*(\Gamma) \otimes Q\) is an isomorphism where \(\Gamma\) is the fundamental group.
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signature
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Borel conjecture
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homotopy invariant
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Witt spaces
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algebraic Poincaré complexes
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