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.

29 pages, final version

References in corpus (2)

• Multiple disjunction for spaces of smooth embeddings
• Embedding calculus and smooth structures

Cited by in corpus (1)

• The Disc-structure space