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math.CT2026
A model structure for cartesian 2-fibrations
Cesar Bardomiano Martinez, Jana K. Nickel, Maru Sarazola +3
Cartesian 2-fibrations provide a way to understand indexed categories, but their classical ``straightening'' construction requires several layers of weak coherence data. This paper…
math.CT2026
Time-Varying Data as Sheaves: an Invitation to Narratives
Wilmer Leal, Benjamin Merlin Bumpus, Jana K. Nickel +3
Modern science and engineering increasingly rely on time-varying data, yet the mathematical tools used to model temporal phenomena are often developed within separate disciplines,…
math.CT2026
Decomposing time-varying data into simple pieces: structured decompositions of narratives
Benjamin Merlin Bumpus, Jana K. Nickel
Graphs that change over time arise throughout applications, but there is no single standard way to decompose them into smaller pieces. In this paper, we propose a systematic catego…