Context-free manifold calculus and the Fulton-MacPherson Operad

TL;DR

This paper provides an explicit description of the Weiss embedding tower using spaces of maps of truncated modules over the framed Fulton-MacPherson operad, advancing the understanding of manifold calculus.

Contribution

It introduces a novel explicit description of the Weiss embedding tower through the framework of operad modules, connecting manifold calculus with operad theory.

Findings

Explicit description of the Weiss embedding tower

Connection between manifold calculus and Fulton-MacPherson operad

Enhanced understanding of embedding spaces in manifold calculus

Abstract

The paper gives an explicit description of the Weiss embedding tower in terms of spaces of maps of truncated modules over the framed Fulton-MacPherson operad.