N-infinity operads and associahedra

Roitzheim, Constanze, Barnes, David, Balchin, Scott (2022) N-infinity operads and associahedra. Pacific Journal of Mathematics, 315 (2). pp. 285-304. E-ISSN 0030-8730. (doi:10.2140/pjm.2021.315.285) (KAR id:77048)

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Official URL: http://doi.org/10.2140/pjm

Abstract

We provide a new combinatorial approach to studying the collection of N∞-operads in Gequivariant homotopy theory for G a finite cyclic group. In particular, we show that for G = C_{p^n} the natural order on the collection of N∞-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∞-operads for any finite cyclic group G.

Item Type:	Article
DOI/Identification number:	10.2140/pjm.2021.315.285
Uncontrolled keywords:	algebraic topology, stable homotopy theory, equivariant stable homotopy theory, operads
Subjects:	Q Science > QA Mathematics (inc Computing science) > QA440 Geometry > QA611 Topology > QA612 Algebraic topology
Divisions:	Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User:	Constanze Roitzheim
Date Deposited:	12 Jul 2021 14:04 UTC
Last Modified:	09 Jan 2024 09:49 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/77048 (The current URI for this page, for reference purposes)

University of Kent Author Information

Roitzheim, Constanze.

Creator's ORCID:	https://orcid.org/0000-0003-3065-0672
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