Introduction to the manifold calculus of Goodwillie-Weiss
Algebraic Topology
2010-05-12 v1
Abstract
We present an introduction to the manifold calculus of functors, due to Goodwillie and Weiss. Our perspective focuses on the role the derivatives of a functor F play in this theory, and the analogies with ordinary calculus. We survey the construction of polynomial functors, the classification of homogeneous functors, and results regarding convergence of the Taylor tower. We sprinkle examples throughout, and pay special attention to spaces of smooth embeddings.
Keywords
Cite
@article{arxiv.1005.1698,
title = {Introduction to the manifold calculus of Goodwillie-Weiss},
author = {Brian A. Munson},
journal= {arXiv preprint arXiv:1005.1698},
year = {2010}
}