Embedding calculus for surfaces

Fuente: arXiv
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Main Authors: Krannich, Manuel, Kupers, Alexander
Format: Preprint
Published: 2021
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author Krannich, Manuel
Kupers, Alexander
author_facet Krannich, Manuel
Kupers, Alexander
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2101_07885
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle Embedding calculus for surfaces
Krannich, Manuel
Kupers, Alexander
Algebraic Topology
Geometric Topology
57K20, 57R40, 57S05, 58D10
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.
title Embedding calculus for surfaces
topic Algebraic Topology
Geometric Topology
57K20, 57R40, 57S05, 58D10
url https://arxiv.org/abs/2101.07885