Artículo
Farinati, M.A.; García Galofre, J. "Link and knot invariants from non-abelian Yang-Baxter 2-cocycles" (2016) Journal of Knot Theory and its Ramifications. 25(13)
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Abstract:
We define a knot/link invariant using set theoretical solutions (X,σ) of the Yang-Baxter equation and non-commutative 2-cocycles. We also define, for a given (X,σ), a universal group Unc(X) governing all 2-cocycles in X, and we exhibit examples of computations. © 2016 World Scientific Publishing Company.
Registro:
| Documento: | Artículo |
| Título: | Link and knot invariants from non-abelian Yang-Baxter 2-cocycles |
| Autor: | Farinati, M.A.; García Galofre, J. |
| Filiación: | Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Argentina Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires. IMAS. CONICET, Argentina |
| Palabras clave: | knot and link invariants; Non-abelian cocycles |
| Año: | 2016 |
| Volumen: | 25 |
| Número: | 13 |
| DOI: | http://dx.doi.org/10.1142/S021821651650070X |
| Título revista: | Journal of Knot Theory and its Ramifications |
| Título revista abreviado: | J. Knot Theory Ramifications |
| ISSN: | 02182165 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02182165_v25_n13_p_Farinati |
Referencias:
- Andruskiewitsch, N., Graña, M., From racks to pointed Hopf algebras (2003) Adv. Math, 178 (2), pp. 177-243
- Bartolomew, A., Fenn, R., Biquandles of small size and some invariants of virtual and Welded Knots (2011) J. Knot Theory Ramifications, 20 (7), pp. 943-954. , http://www.layer8.co.uk/maths/biquandles/index.htm
- Carter, J.S., El Hamdadi, M., Graña, M., Saito, M., Cocycle knot invariants from quandle modules and generalized quandle homology (2005) Osaka J. Math, 42 (3), pp. 499-541
- Carter, J.S., Elhamdadi, M., Saito, M., Homology theory for the set-theoretic Yang- Baxter equation and knot invariants from generalizations of quandles (2004) Fund. Math, 184, pp. 31-54
- Farinati, M., Galofre, J.G., http://mate.dm.uba.ar/-mfarinat/papers/GAP; (2015) The GAP Group, GAP-Groups, Algorithms, and Programming, Version 4.7.8, , http://www.gap-system.org
- Graña, M., Indecomposable racks of order p2 (2004) Beitr. Algebra Geom, 45 (2), pp. 665-676
- Lu, J., Yan, M., Zhu, Y., On set-theoretical Yang-Baxter equation (2000) Duke Math. J, 104, pp. 1-18
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Citas:
---------- APA ----------
Farinati, M.A. & García Galofre, J. (2016) . Link and knot invariants from non-abelian Yang-Baxter 2-cocycles. Journal of Knot Theory and its Ramifications, 25(13).http://dx.doi.org/10.1142/S021821651650070X
---------- CHICAGO ----------
Farinati, M.A., García Galofre, J. "Link and knot invariants from non-abelian Yang-Baxter 2-cocycles" . Journal of Knot Theory and its Ramifications 25, no. 13 (2016).http://dx.doi.org/10.1142/S021821651650070X
---------- MLA ----------
Farinati, M.A., García Galofre, J. "Link and knot invariants from non-abelian Yang-Baxter 2-cocycles" . Journal of Knot Theory and its Ramifications, vol. 25, no. 13, 2016.http://dx.doi.org/10.1142/S021821651650070X
---------- VANCOUVER ----------
Farinati, M.A., García Galofre, J. Link and knot invariants from non-abelian Yang-Baxter 2-cocycles. J. Knot Theory Ramifications. 2016;25(13).http://dx.doi.org/10.1142/S021821651650070X
