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arXiv · 1905.03797

$N_\infty$-operads and associahedra

Scott Balchin·David Barnes·Constanze Roitzheim
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Abstract

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.

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BibTeXRIS

Scott Balchin, David Barnes, Constanze Roitzheim. 2019-05-09. $N_\infty$-operads and associahedra. https://doi.org/10.2140/pjm.2021.315.285

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