• Corpus ID: 56100668

Introduction to the manifold calculus of Goodwillie-Weiss ⁄

@article{Munson2010IntroductionTT,
  title={Introduction to the manifold calculus of Goodwillie-Weiss ⁄},
  author={Brian A. Munson},
  journal={arXiv: Algebraic Topology},
  year={2010}
}
  • B. Munson
  • Published 11 May 2010
  • Mathematics
  • arXiv: Algebraic Topology
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. 
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