Inverting operations in operads
We construct a localization for operads with respect to one-ary operations based on the Dwyer-Kan hammock localization [2]. For an operad O and a submonoid of one-ary operations W we associate an operad LO and a canonical map O → LO which takes elements in W to homotopy invertible operations. Furthe...
| Main Authors: | , , , , |
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| Format: | Journal article |
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Elsevier
2017
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| _version_ | 1797074581605842944 |
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| author | Basterra, M Bobkova, I Ponto, K Tillmann, U Yeakel, S |
| author_facet | Basterra, M Bobkova, I Ponto, K Tillmann, U Yeakel, S |
| author_sort | Basterra, M |
| collection | OXFORD |
| description | We construct a localization for operads with respect to one-ary operations based on the Dwyer-Kan hammock localization [2]. For an operad O and a submonoid of one-ary operations W we associate an operad LO and a canonical map O → LO which takes elements in W to homotopy invertible operations. Furthermore, we give a functor from the category of O-algebras to the category of LO-algebras satisfying an appropriate universal property. |
| first_indexed | 2024-03-06T23:38:17Z |
| format | Journal article |
| id | oxford-uuid:6e69d9d5-12a8-4267-98ac-ef2f6a2eb90b |
| institution | University of Oxford |
| last_indexed | 2024-03-06T23:38:17Z |
| publishDate | 2017 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | oxford-uuid:6e69d9d5-12a8-4267-98ac-ef2f6a2eb90b2022-03-26T19:24:22ZInverting operations in operadsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:6e69d9d5-12a8-4267-98ac-ef2f6a2eb90bSymplectic Elements at OxfordElsevier2017Basterra, MBobkova, IPonto, KTillmann, UYeakel, SWe construct a localization for operads with respect to one-ary operations based on the Dwyer-Kan hammock localization [2]. For an operad O and a submonoid of one-ary operations W we associate an operad LO and a canonical map O → LO which takes elements in W to homotopy invertible operations. Furthermore, we give a functor from the category of O-algebras to the category of LO-algebras satisfying an appropriate universal property. |
| spellingShingle | Basterra, M Bobkova, I Ponto, K Tillmann, U Yeakel, S Inverting operations in operads |
| title | Inverting operations in operads |
| title_full | Inverting operations in operads |
| title_fullStr | Inverting operations in operads |
| title_full_unstemmed | Inverting operations in operads |
| title_short | Inverting operations in operads |
| title_sort | inverting operations in operads |
| work_keys_str_mv | AT basterram invertingoperationsinoperads AT bobkovai invertingoperationsinoperads AT pontok invertingoperationsinoperads AT tillmannu invertingoperationsinoperads AT yeakels invertingoperationsinoperads |