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arXiv · 2501.10518

2-Segal sets from cuts of rooted trees

Julia E. Bergner·Olivia Borghi·Pinka Dey·Imma Gálvez-Carrillo·Teresa Hoekstra-Mendoza
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Abstract

The theory of 2-Segal sets has connections to various important constructions such as the Waldhausen $S_\bullet$-construction in algebraic $K$-theory, Hall algebras, and (co)operads. In this paper, we construct 2-Segal sets from rooted trees and explore how these applications are illustrated by this example.

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Julia E. Bergner, Olivia Borghi, Pinka Dey, Imma Gálvez-Carrillo, Teresa Hoekstra-Mendoza. 2025-01-17. 2-Segal sets from cuts of rooted trees. https://arxiv.org/abs/2501.10518

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