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math.AT2022★ 1 cited
The combinatorics of operads for and
Scott Balchin, Ethan MacBrough, Kyle Ormsby
We provide a general recursive method for constructing transfer systems on finite lattices. Using this we calculate the number of homotopically distinct operads for dihe…
math.AT2022★ 2 cited
Lifting operads from conjugacy data
Scott Balchin, Ethan MacBrough, Kyle Ormsby
We isolate a class of groups -- called lossless groups -- for which homotopy classes of - operads are in bijection with certain restricted transfer systems on the pose…