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Six operations formalism for generalized operads
Stockholm University, Faculty of Science, Department of Mathematics.
Number of Authors: 12019 (English)In: Theory and Applications of Categories, ISSN 1201-561X, E-ISSN 1201-561X, Vol. 34, p. 121-169Article in journal (Refereed) Published
Abstract [en]

This paper shows that generalizations of operads equipped with their respective bar/cobar dualities are related by a six operations formalism analogous to that of classical contexts in algebraic geometry. As a consequence of our constructions, we prove intertwining theorems which govern derived Koszul duality of push-forwards and pull-backs.

Place, publisher, year, edition, pages
2019. Vol. 34, p. 121-169
Keywords [en]
Operads, modular operads, graph complexes, six-operations formalism, Koszul duality
National Category
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-173070ISI: 000482757600006OAI: oai:DiVA.org:su-173070DiVA, id: diva2:1352356
Available from: 2019-09-18 Created: 2019-09-18 Last updated: 2019-09-18Bibliographically approved

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