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Tautological
characteristic classes, I
Jan Dymara and Tadeusz Januszkiewicz |
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Algebraic & Geometric Topology 24 (2024) 2889–2932
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Abstract |
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We discuss the formalism of tautological characteristic classes of flat bundles. Applied to , it yields the Witt class of Nekovář. Applied to , the general linear groups with positive determinant over an arbitrary ordered field, it yields (a generalization of) the Euler class. |
Keywords
characteristic class, Euler class, group cohomology, flat
bundle
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Mathematical Subject Classification
Primary: 20G10
Secondary: 20J06
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References |
Publication
Received: 25 February 2023
Revised: 30 June 2023
Accepted: 2 August 2023
Published: 19 August 2024
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Authors |
| Jan Dymara | |
| Instytut Matematyczny Uniwersytet Wrocławski Wrocław Poland |
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| Tadeusz Januszkiewicz | |
| Instytut Matematyczny PAN Wrocław Poland |
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| © 2024 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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