2-Segal sets from cuts of rooted trees
Algebraic Topology
2025-01-22 v1 Combinatorics
Category Theory
K-Theory and Homology
Abstract
The theory of 2-Segal sets has connections to various important constructions such as the Waldhausen -construction in algebraic -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.
Cite
@article{arxiv.2501.10518,
title = {2-Segal sets from cuts of rooted trees},
author = {Julia E. Bergner and Olivia Borghi and Pinka Dey and Imma Gálvez-Carrillo and Teresa Hoekstra-Mendoza},
journal= {arXiv preprint arXiv:2501.10518},
year = {2025}
}
Comments
28 pages, to appear in WIT IV proceedings