Realizing compatible pairs of transfer systems by combinatorial $N_\infty$-operads
Algebraic Topology
2026-03-06 v2 Category Theory
Abstract
We investigate how the notions of pairings of operads of May and compatible pairs of indexing systems of Blumberg--Hill relate via the correspondence between indexing systems and -operads. We show that a pairing of operads induces a pairing on the associated indexing systems. Conversely, we show that in many cases, compatible pairs of indexing systems can be realized by a pairing of -operads.
Keywords
Cite
@article{arxiv.2510.26047,
title = {Realizing compatible pairs of transfer systems by combinatorial $N_\infty$-operads},
author = {David Chan and Myungsin Cho and David Mehrle and Pablo S. Ocal and Angélica M. Osorno and Ben Szczesny and Paula Verdugo},
journal= {arXiv preprint arXiv:2510.26047},
year = {2026}
}
Comments
v2: minor update with focused revisions in section 7. v1: 37 pages, 1 figure