N-Infinity operads and associahedra

Constanze Roitzheim, David Barnes, Scott Balchin

Research output: Contribution to journalArticlepeer-review


We provide a new combinatorial approach to studying the collection of N-infinity-operads in G-equivariant homotopy theory for G a finite cyclic group. In particular, we show that for G the cyclic group of order p^n the natural order on the collection of N-infinity-operads stands in bijection with the poset structure of the (n+1)-associahedron. We further provide a lower bound for the number of possible N-infinity-operads for any finite cyclic group G.
Original languageEnglish
JournalPacific Journal of Mathematics
Publication statusAccepted - 08 Jul 2021


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