Tautological characteristic classes I

Author:

Jan Dymara, Tadeusz Januszkiewicz

Keyword:

Mathematics, Algebraic Geometry, Algebraic Geometry (math.AG), Group Theory (math.GR), K-Theory and Homology (math.KT)

journal:

date:

2023-07-10 16:00:00

Abstract

We discuss the formalism of tautological characteristic classes of flat bundles. Applied to $PSL(2,K)$ it yields the Witt class of Nekovar. Applied to $PGL_+(2n,K)$, the general linear groups with positive determinant over an arbitrary ordered field, it yields (a generalization of) the Euler class.

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