Configuration spaces and theta_n

David Ayala; Richard Hepworth

doi:10.1090/S0002-9939-2014-11946-0

Configuration spaces and theta_n

David Ayala, Richard Hepworth

Mathematical Science

Harvard University

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

14 Downloads (Pure)

Abstract

We demonstrate that Joyal's category theta_n, which is central to numerous definitions of (infinity,n)-categories, naturally encodes the homotopy type of configuration spaces of marked points in R^n. This article is largely self-contained and uses only elementary techniques in combinatorics and homotopy theory.

Original language	English
Pages (from-to)	2243-2254
Number of pages	12
Journal	Proceedings of the American Mathematical Society
Volume	142
Early online date	11 Apr 2014
DOIs	https://doi.org/10.1090/S0002-9939-2014-11946-0
Publication status	Published - Jul 2014

Bibliographical note

The work was supported by the Danish National Research Foundation (DNRF) through the Centre for Symmetry and Deformation.
The first author was partially supported by ERC adv.grant No. 228082, and by the National Science Foundation under award No. 0902639

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10.1090/S0002-9939-2014-11946-0Licence: Unspecified

Accepted Manuscript
First published in Proceedings of the American Mathematical Society in 142, 2014, published by the American Mathematical Society
Accepted author manuscript, 205 KBLicence: Other

Richard Hepworth
- School of Natural & Computing Sciences, Mathematical Science - Reader
Person: Academic

Cite this

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Configuration spaces and theta_n

Abstract

Bibliographical note

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Richard Hepworth

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