Scott Balchin

activity

20142026

most citedComputations for symbolic substitutions

3 citations · 16 across the 24 of their papers we have counts for

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3 papers · 1 filter

math.AT2022★ 1 cited

The combinatorics of $N_{\infty}$ operads for $C_{q p^{n}}$ and $D_{p^{n}}$

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 $N_{\infty}$ operads for dihe…

math.AT2022★ 2 cited

Lifting $N_{\infty}$ operads from conjugacy data

Scott Balchin, Ethan MacBrough, Kyle Ormsby

We isolate a class of groups -- called lossless groups -- for which homotopy classes of $G$ - $N_{\infty}$ operads are in bijection with certain restricted transfer systems on the pose…

math.AT2022

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…

The combinatorics of N∞​ operads for Cqpn​ and Dpn​

Lifting N∞​ operads from conjugacy data

Composition closed premodel structures and the Kreweras lattice

The combinatorics of $N_{\infty}$ operads for $C_{q p^{n}}$ and $D_{p^{n}}$

Lifting $N_{\infty}$ operads from conjugacy data