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
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},
year = {2019},
volume = {34},
language = {en},
url = {http://geodesic.mathdoc.fr/item/TAC_2019_34_a5/}
}
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/