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Non-factorizable ribbon Hopf Algebras

Year: 2025
Type: preprint
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.
Language: English
Open Access status: green
OpenAlex ID: W6979349595
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