Modular operads and the nerve theorem
Sign Up to like & getrecommendations! Published in 2020 at "Advances in Mathematics"
DOI: 10.1016/j.aim.2020.107206
Abstract: Abstract We describe a category of undirected graphs which comes equipped with a faithful functor into the category of (colored) modular operads. The associated singular functor from modular operads to presheaves is fully faithful, and… read more here.
Keywords: nerve theorem; category; modular operads; operads nerve ... See more keywords
Graphical combinatorics and a distributive law for modular operads
Sign Up to like & getrecommendations! Published in 2021 at "Advances in Mathematics"
DOI: 10.1016/j.aim.2021.108011
Abstract: Abstract This work presents a detailed analysis of the combinatorics of modular operads. These are operad-like structures that admit a contraction operation as well as an operadic multiplication. Their combinatorics are governed by graphs that… read more here.
Keywords: distributive law; modular operads; combinatorics distributive; graphical combinatorics ... See more keywords