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arXiv · 2503.19532

Non-factorizable ribbon Hopf Algebras

Quentin Faes·Maksymilian Manko
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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 $4$-dimensional $2$-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.

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Quentin Faes, Maksymilian Manko. 2025-03-25. Non-factorizable ribbon Hopf Algebras. https://arxiv.org/abs/2503.19532

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