N∞ -operads and associahedra

Scott Balchin; David Barnes; Constanze Roitzheim

doi:10.2140/pjm.2021.315.285

N∞ -operads and associahedra

Scott Balchin, David Barnes, Constanze Roitzheim

School of Mathematics and Physics

Research output: Contribution to journal › Article › peer-review

13 Citations (Scopus)

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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.

Original language	English
Pages (from-to)	285–304
Journal	Pacific Journal of Mathematics
Volume	315
Issue number	2
DOIs	https://doi.org/10.2140/pjm.2021.315.285
Publication status	Published - 19 Jan 2022

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N ∞ -operads and associahedra
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Cite this

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AB - 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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JO - Pacific Journal of Mathematics

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N∞ -operads and associahedra

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