Kyle Ormsby

activity

20222025

N_{\infty}

operads from conjugacy data

2 citations · 3 across the 5 of their papers we have counts for

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math.AT2023

Transfer systems for rank two elementary Abelian groups: characteristic functions and matchstick games

Linus Bao, Christy Hazel, Tia Karkos +6

We prove that Hill's characteristic function $χ$ for transfer systems on a lattice $P$ surjects onto interior operators for $P$ . Moreover, the fibers of $χ$ have unique maxima whic…

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…

Transfer systems for rank two elementary Abelian groups: characteristic functions and matchstick games

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

Lifting N∞​ operads from conjugacy data

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

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