Geodesic
Embedding calculus for surfaces
Krannich, Manuel1 ; Kupers, Alexander2
1 Department of Mathematics, Karlsruhe Institute of Technology, Karlsruhe, Germany
2 Department of Mathematics, University of Toronto, Toronto, ON, Canada
Algebraic and Geometric Topology, Tome 24 (2024) no. 2, pp. 981-1018

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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.

DOI : 10.2140/agt.2024.24.981
Keywords: embedding calculus, manifold calculus, surfaces, mapping class group, Johnson filtration

Krannich, Manuel 1 ; Kupers, Alexander 2

1 Department of Mathematics, Karlsruhe Institute of Technology, Karlsruhe, Germany
2 Department of Mathematics, University of Toronto, Toronto, ON, Canada 
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Krannich, Manuel; Kupers, Alexander. Embedding calculus for surfaces. Algebraic and Geometric Topology, Tome 24 (2024) no. 2, pp. 981-1018. doi: 10.2140/agt.2024.24.981

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