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Characteristic classes of flat bundles. II - MaRDI portal

Characteristic classes of flat bundles. II (Q1207500)

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scientific article; zbMATH DE number 149765
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English
Characteristic classes of flat bundles. II
scientific article; zbMATH DE number 149765

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    Characteristic classes of flat bundles. II (English)
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    1 April 1993
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    [For Part I see Topology 27, No. 3, 323-352 (1988; Zbl 0699.32016).] The author's abstract: ``On a smooth variety \(X\) defined over a field \(K\) of characteristic zero, one defines characteristic classes of bundles with an integrable \(K\)-connection in a group lifting the Chow group, which map, when \(K\) is the field of complex numbers and \(X\) is proper, to Cheeger-Simons' secondary analytic invariants, compatibly with the cycle map in the Deligne cohomology''.
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    field of characteristic zero
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    integrable \(K\)-connection
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    smooth variety
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    characteristic classes
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    Chow group
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    cycle map in the Deligne cohomology
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