On some Chern-Simons forms of the Bott-Shulman-Stasheff forms

TL;DR

This paper presents explicit Chern-Simons forms associated with certain characteristic classes within the simplicial de Rham complex framework, enhancing understanding of their geometric and topological properties.

Contribution

It introduces explicit constructions of Chern-Simons forms for characteristic classes in the simplicial de Rham complex, providing new tools for geometric analysis.

Findings

Explicit Chern-Simons forms derived for specific characteristic classes

Connections established between Chern-Simons forms and simplicial de Rham complex

Enhanced understanding of geometric structures in characteristic classes

Abstract

We exhibit the Chern-Simons forms of some characteristic classes in the simplicial de Rham complex.