English

Tautological characteristic classes I

Algebraic Geometry 2024-09-04 v1 Group Theory K-Theory and Homology

Abstract

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

Keywords

Cite

@article{arxiv.2307.05765,
  title  = {Tautological characteristic classes I},
  author = {Jan Dymara and Tadeusz Januszkiewicz},
  journal= {arXiv preprint arXiv:2307.05765},
  year   = {2024}
}

Comments

33 pages

R2 v1 2026-06-28T11:27:54.193Z