Embedding calculus for surfaces
Algebraic Topology
2024-04-24 v3 Geometric Topology
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.
Cite
@article{arxiv.2101.07885,
title = {Embedding calculus for surfaces},
author = {Manuel Krannich and Alexander Kupers},
journal= {arXiv preprint arXiv:2101.07885},
year = {2024}
}
Comments
29 pages, final version