46 citations · 164 across the 22 of their papers we have counts for
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math.CT2019★ 11 cited
Modular operads and the nerve theorem
Philip Hackney, Marcy Robertson, Donald Yau
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 modula…
math.AT2019★ 16 cited
A graphical category for higher modular operads
Philip Hackney, Marcy Robertson, Donald Yau
We present a homotopy theory for a weak version of modular operads whose compositions and contractions are only defined up to homotopy. This homotopy theory takes the form of a Qui…