arXiv Open Access 2020

Cocycle Invariants and Oriented Singular Knots

Jose Ceniceros Indu R. Churchill Mohamed Elhamdadi Mustafa Hajij

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Abstrak

We extend the quandle cocycle invariant to oriented singular knots and links using algebraic structures called \emph{oriented singquandles} and assigning weight functions at both regular and singular crossings. This invariant coincides with the classical cocycle invariant for classical knots but provides extra information about singular knots and links. The new invariant distinguishes the singular granny knot from the singular square knot.

Topik & Kata Kunci

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Penulis (4)

Jose Ceniceros

Indu R. Churchill

Mohamed Elhamdadi

Mustafa Hajij

Format Sitasi

APA MLA BibTeX

Ceniceros, J., Churchill, I.R., Elhamdadi, M., Hajij, M. (2020). Cocycle Invariants and Oriented Singular Knots. https://arxiv.org/abs/2009.07950

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2020
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓