Non-factorizable ribbon Hopf Algebras

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.

Publication Details

Journal
ArXiv.org
Published
2025-03-25
Primary Topic
Homotopy and Cohomology in Algebraic Topology
Type
article
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article

Non-factorizable ribbon Hopf Algebras

ArXiv.org
Homotopy and Cohomology in Algebraic Topology
article

Non-factorizable ribbon Hopf Algebras

article en

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.

ArXiv.org
Openalex Percentile: Top 44%
Homotopy and Cohomology in Algebraic Topology
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Non-factorizable ribbon Hopf Algebras · ArXiv.org (2025) | TGRS Research Map | TGRS