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  On the delooping of (framed) embedding spaces

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.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0009-116C-B Version Permalink: https://hdl.handle.net/21.11116/0000-000F-6B8C-C
Genre: Journal Article

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arXiv:1811.12816.pdf (Preprint), 374KB
 
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https://doi.org/10.1090/tran/8451 (Publisher version)
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https://doi.org/10.48550/arXiv.1811.12816 (Preprint)
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 Creators:
Ducoulombier, Julien1, Author           
Turchin, Victor1, Author           
Willwacher, Thomas, Author
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Algebraic Topology
 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.

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Language(s): eng - English
 Dates: 2021
 Publication Status: Issued
 Pages: 21
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 1811.12816
DOI: 10.1090/tran/8451
 Degree: -

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Title: Transactions of the American Mathematical Society
Source Genre: Journal
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Publ. Info: American Mathematical Society
Pages: - Volume / Issue: 374 (11) Sequence Number: - Start / End Page: 7657 - 7677 Identifier: -