Embedding calculus for surfaces

Abstract

We prove convergence of Goodwillie-Weiss' embedding calculus for spaces of embeddings into a manifold of dimension at most two, so in particular for diffeomorphisms between surfaces. We also relate the Johnson filtration of the mapping class group of a surface to a certain filtration arising from embedding calculus.

arXiv comment29 pages, final version

References in corpus (8)

• Embeddings from the point of view of immersion theory: Part I
• Embeddings from the point of view of immersion theory: Part II
• Spaces of smooth embeddings and configuration categories
• Multiple disjunction for spaces of smooth embeddings
• Context-free manifold calculus and the Fulton-MacPherson Operad
• The cohomology of Torelli groups is algebraic
• Embedding calculus and smooth structures
• The May-Milgram filtration and $E_k$-cells

Cited by in corpus (1)

• The Disc-structure space