A Simple Formula for Generating Chern Characters by Repeated Exterior Differentiation

TL;DR

This paper presents a straightforward formula for deriving Chern characters through repeated exterior differentiation on n-dimensional manifolds with a general linear connection.

Contribution

It introduces a new, simple method for generating Chern characters using repeated exterior differentiation on manifolds with linear connections.

Findings

Provides a concise formula for Chern characters

Simplifies the process of calculating characteristic classes

Applicable to n-dimensional differentiable manifolds

Abstract

A simple formula is given for generating Chern characters by repeated exterior differentiation for n-dimensional differentiable manifolds having a general linear connection.