Simple Formulas for Generating Chern-Simons Basic Invariant Polynomials by Repeated Exterior Differentiation

TL;DR

This paper presents straightforward formulas for generating Chern-Simons invariant polynomials using repeated exterior differentiation on n-dimensional manifolds with a general linear connection.

Contribution

It introduces new simple formulas for generating Chern-Simons invariant polynomials via repeated exterior differentiation.

Findings

Formulas applicable to n-dimensional manifolds with linear connections

Simplifies the process of generating Chern-Simons invariants

Provides a systematic approach for invariant polynomial generation

Abstract

Simple formulas are given for generating Chern-Simons basic invariant polynomials by repeated exterior differentiation for n-dimensional differentiable manifolds having a general linear connection.