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arXiv · 2510.26047

Realizing compatible pairs of transfer systems by combinatorial $N_\infty$-operads

David Chan·Myungsin Cho·David Mehrle·Pablo S. Ocal·Angélica M. Osorno·Ben Szczesny·Paula Verdugo
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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 $N_{\infty}$-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 $N_{\infty}$-operads.

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David Chan, Myungsin Cho, David Mehrle, Pablo S. Ocal, Angélica M. Osorno, Ben Szczesny, Paula Verdugo. 2025-10-30. Realizing compatible pairs of transfer systems by combinatorial $N_\infty$-operads. https://arxiv.org/abs/2510.26047

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