Configuration spaces and theta_n

David Ayala, Richard Hepworth

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)
14 Downloads (Pure)


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 languageEnglish
Pages (from-to)2243-2254
Number of pages12
JournalProceedings of the American Mathematical Society
Early online date11 Apr 2014
Publication statusPublished - 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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