Non-factorizable ribbon Hopf Algebras
Quantum Algebra
2025-05-28 v2 Geometric Topology
Abstract
Building on the work of Nenciu we provide examples of non-factorizable ribbon Hopf algebras, and introduce a stronger notion of non-factorizability. These algebras are designed to provide invariants of -dimensional -handlebodies up to 2-deformations. We prove that some of the invariants derived from these examples are invariants dependent only on the boundary or on the presentation of the fundamental group of the 2-handlebody.
Cite
@article{arxiv.2503.19532,
title = {Non-factorizable ribbon Hopf Algebras},
author = {Quentin Faes and Maksymilian Manko},
journal= {arXiv preprint arXiv:2503.19532},
year = {2025}
}
Comments
39 pages, minor modifications of Definition 2.11 and Definition 2.20, some typos corrected