Tautological characteristic classes I

Fuente: arXiv
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Main Authors: Dymara, Jan, Januszkiewicz, Tadeusz
Format: Preprint
Published: 2023
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author Dymara, Jan
Januszkiewicz, Tadeusz
author_facet Dymara, Jan
Januszkiewicz, Tadeusz
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2307_05765
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Tautological characteristic classes I
Dymara, Jan
Januszkiewicz, Tadeusz
Algebraic Geometry
Group Theory
K-Theory and Homology
20G10
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.
title Tautological characteristic classes I
topic Algebraic Geometry
Group Theory
K-Theory and Homology
20G10
url https://arxiv.org/abs/2307.05765