106 citations · 121 across the 6 of their papers we have counts for
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Equivariant linear isometries operads over Abelian groups
Ethan MacBrough
-operads are an equivariant generalization of -operads introduced by Blumberg and Hill to study structural problems in equivariant stable homotopy theory. In th…
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…
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…
Composition closed premodel structures and the Kreweras lattice
Scott Balchin, Ethan MacBrough, Kyle Ormsby
We investigate the rich combinatorial structure of premodel structures on finite lattices whose weak equivalences are closed under composition. We prove that there is a natural ref…