Embedding calculus for surfaces

Krannich, Manuel; Kupers, Alexander

doi:10.2140/agt.2024.24.981

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Author Index

To Appear

Other MSP Journals

Embedding calculus for surfaces

Manuel Krannich and Alexander Kupers

Algebraic & Geometric Topology 24 (2024) 981–1018

DOI: 10.2140/agt.2024.24.981

Abstract

We prove convergence of the 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.

Keywords

embedding calculus, manifold calculus, surfaces, mapping class group, Johnson filtration

Mathematical Subject Classification

Primary: 58D10

Secondary: 57K20, 57R40, 57S05

References

Publication

Received: 17 December 2021

Revised: 21 September 2022

Accepted: 5 October 2022

Published: 12 April 2024

Authors

Manuel Krannich
Department of Mathematics Karlsruhe Institute of Technology Karlsruhe Germany

Alexander Kupers
Department of Mathematics University of Toronto Toronto, ON Canada

Open Access made possible by participating institutions via Subscribe to Open.

Volume 24, issue 2 (2024)