Categorical Reconstruction Theory
Category Theory
2026-02-24 v1 Quantum Algebra
Representation Theory
Abstract
We generalise classical reconstruction results in algebra, using the language of monads, monoidal categories, module categories, as well as various notions of duality, such as closedness, Grothendieck--Verdier duality (also known as *-autonomy), and rigidity.
Cite
@article{arxiv.2602.19860,
title = {Categorical Reconstruction Theory},
author = {Tony Zorman},
journal= {arXiv preprint arXiv:2602.19860},
year = {2026}
}
Comments
PhD thesis; based on 2201.05361v2, 2301.03545v2, 2312.13074v2, 2409.00793v2, and 2503.03445