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Dwyer-Kan homotopy theory for cyclic operads

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Title
Dwyer-Kan homotopy theory for cyclic operads
Author(s)
GABRIEL C. DRUMMOND-COLE; Hackney, Philip
Publication Date
2021-02
Journal
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, v.64, no.1, pp.29 - 58
Publisher
CAMBRIDGE UNIV PRESS
Abstract
We introduce a general definition for coloured cyclic operads over a symmetric monoidal ground category, which has several appealing features. The forgetful functor from coloured cyclic operads to coloured operads has both adjoints, each of which is relatively simple. Explicit formulae for these adjoints allow us to lift the Cisinski-Moerdijk model structure on the category of coloured operads enriched in simplicial sets to the category of coloured cyclic operads enriched in simplicial sets.
URI
https://pr.ibs.re.kr/handle/8788114/10124
DOI
10.1017/S0013091520000267
ISSN
0013-0915
Appears in Collections:
Center for Geometry and Physics(기하학 수리물리 연구단) > 1. Journal Papers (저널논문)
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