3 papers
math.AT2026
Structured flow categories and twisted presheaves
Alice Hedenlund, Trygve Poppe Oldervoll
An orientation theory for flow categories without bubbling is determined by a functor of -categories . For any such functor, we construct a st…
math.AG2025
The Synthetic Hilbert Additive Group Scheme
Alice Hedenlund, Tasos Moulinos
We construct a lift of the degree filtration on the integer valued polynomials to (even MU-based) synthetic spectra. Namely, we construct a bialgebra in modules over the evenly fil…
math.AT2024
Twisted Spectra Revisited
Alice Hedenlund, Tasos Moulinos
We recapture Douglas' framework for twisted parametrized stable homotopy theory in the language of - categories. A twisted spectrum is essentially a section of a bundle of…