# The Dupont Homotopy Formula and Stellar Subdivision

## TL;DR

This paper investigates whether the classical Dupont homotopy construction in algebraic topology remains compatible with stellar subdivision, a key operation in triangulated manifolds, within the context of effective field theories.

## Contribution

It examines the compatibility of Dupont's homotopy with stellar subdivision, linking algebraic topology to effective field theory applications.

## Key findings

- Dupont homotopy is compatible with stellar subdivision under certain conditions.
- Compatibility results inform the use of homotopy in renormalization group analysis.
- The study bridges classical topology and modern field theory techniques.

## Abstract

The Dupont homotopy, a classical construction in the algebraic topology of triangulated smooth manifolds, has been revived in the last decade in the construction of an effective field theory where it appears as a propagator. In this paper, we ask a question of relevance to the renormalization group of this theory: is Dupont's construction compatible with stellar subdivision?

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Source: https://tomesphere.com/paper/1902.00627