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arXiv · 2101.07885

Embedding calculus for surfaces

Manuel Krannich·Alexander Kupers
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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.

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Manuel Krannich, Alexander Kupers. 2021-01-19. Embedding calculus for surfaces. https://doi.org/10.2140/agt.2024.24.981

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