Oriented disingquandles and invariants of oriented dichromatic singular links

In this paper, we introduce and investigate oriented dichromatic singular links. We also introduce oriented disingquandles and use them to define counting invariants for oriented dichromatic singular links. We provide some examples to show that these invariants distinguish some oriented dichromatic singular links.

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Publication Details

Journal
Journal of Knot Theory and Its Ramifications
Published
2026-01-14
DOI
https://doi.org/10.1142/s0218216526400092
Primary Topic
Geometric and Algebraic Topology
Type
article
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article

Oriented disingquandles and invariants of oriented dichromatic singular links

Danish Ali, Mohamed Elhamdadi, Mohd Ibrahim Sheikh
Journal of Knot Theory and Its Ramifications
Geometric and Algebraic Topology
article

Oriented disingquandles and invariants of oriented dichromatic singular links

Danish Ali, Mohamed Elhamdadi, Mohd Ibrahim Sheikh
article en

Abstract

In this paper, we introduce and investigate oriented dichromatic singular links. We also introduce oriented disingquandles and use them to define counting invariants for oriented dichromatic singular links. We provide some examples to show that these invariants distinguish some oriented dichromatic singular links.

Journal of Knot Theory and Its Ramifications
University of South Florida (US), Dalian University of Technology (CN), St. Peter's Institute of Higher Education and Research (IN)
Reduced inequalities
Openalex Percentile: Top 85%
Geometric and Algebraic Topology
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