Geodesic
Six operations formalism for generalized operads
Theory and applications of categories, Tome 34 (2019), pp. 121-169

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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.

Publié le :
Classification : 55U30, 18D50
Keywords: Operads, modular operads, graph complexes, six-operations formalism, Koszul duality 
@article{TAC_2019_34_a5,
     author = {Benjamin C. Ward},
     title = {Six operations formalism for generalized operads},
     journal = {Theory and applications of categories},
     pages = {121--169},
     publisher = {mathdoc},
     volume = {34},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2019_34_a5/}
}
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Benjamin C. Ward. Six operations formalism for generalized operads. Theory and applications of categories, Tome 34 (2019), pp. 121-169. http://geodesic.mathdoc.fr/item/TAC_2019_34_a5/