Negative forms and path space forms

TL;DR

This paper explores negative differential forms within an algebraic framework and examines their connection to forms on path spaces, advancing the understanding of differential graded algebras.

Contribution

It introduces a natural algebraic approach to negative differential forms and clarifies their relationship with path space forms.

Findings

Negative forms are characterized within differential graded algebras.

The relationship between negative forms and path space forms is elucidated.

The framework enhances the algebraic understanding of differential forms.

Abstract

We present an account of negative differential forms within a natural algebraic framework of differential graded algebras, and explain their relationship with forms on path spaces.