On the delooping of (framed) embedding spaces

Ducoulombier, Julien; Turchin, Victor; Willwacher, Thomas

doi:10.1090/tran/8451

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On the delooping of (framed) embedding spaces

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Ducoulombier, Julien
Max Planck Institute for Mathematics, Max Planck Society;

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Turchin, Victor
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.1090/tran/8451
(Publisher version)

https://doi.org/10.48550/arXiv.1811.12816
(Preprint)

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Citation

Ducoulombier, J., Turchin, V., & Willwacher, T. (2021). On the delooping of (framed) embedding spaces. Transactions of the American Mathematical Society, 374(11), 7657-7677. doi:10.1090/tran/8451.

Cite as: https://hdl.handle.net/21.11116/0000-0009-116C-B

Abstract

It is known that the bimodule derived mapping spaces between two operads have
a delooping in terms of the operadic mapping space. We show a relative version
of that statement. The result has applications to the spaces of disc embeddings
fixed near the boundary and framed disc embeddings.