Cyclic sets from ribbon string links

In this paper, we first endow the set of ribbon string links (up to isotopy) with a structure of a cyclic and of a cocyclic set. Next, we relate these (co)cyclic sets with those associated with the coend of a ribbon category. The relationship is given by the universal quantum invariants à la Reshetikhin–Turaev.

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Publication Details

Journal
Journal of Knot Theory and Its Ramifications
Published
2025-04-14
DOI
https://doi.org/10.1142/s0218216525500348
Primary Topic
Geometric and Algebraic Topology
Type
article
Field-Weighted Citation Impact
0.00
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article

Cyclic sets from ribbon string links

Ivan Bartulović
Journal of Knot Theory and Its Ramifications
Geometric and Algebraic Topology
article

Cyclic sets from ribbon string links

Ivan Bartulović
article en

Abstract

In this paper, we first endow the set of ribbon string links (up to isotopy) with a structure of a cyclic and of a cocyclic set. Next, we relate these (co)cyclic sets with those associated with the coend of a ribbon category. The relationship is given by the universal quantum invariants à la Reshetikhin–Turaev.

Journal of Knot Theory and Its RamificationsVol. 34(08)
Technische Universität Dresden (DE)
Openalex Percentile: Top 88%
Geometric and Algebraic Topology
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Cyclic sets from ribbon string links — Ivan Bartulović · Journal of Knot Theory and Its Ramifications (2025) | TGRS Research Map | TGRS