Link and knot invariants from non-abelian Yang-Baxter 2-cocycles
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 Com...
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| Formato: | Capítulo de libro |
| Lenguaje: | Inglés |
| Publicado: |
World Scientific Publishing Co. Pte Ltd
2016
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| Acceso en línea: | Registro en Scopus DOI Handle Registro en la Biblioteca Digital |
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| LEADER | 03539caa a22004217a 4500 | ||
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| 001 | PAPER-15573 | ||
| 003 | AR-BaUEN | ||
| 005 | 20230518204620.0 | ||
| 008 | 190411s2016 xx ||||fo|||| 00| 0 eng|d | ||
| 024 | 7 | |2 scopus |a 2-s2.0-84990239797 | |
| 040 | |a Scopus |b spa |c AR-BaUEN |d AR-BaUEN | ||
| 100 | 1 | |a Farinati, M.A. | |
| 245 | 1 | 0 | |a Link and knot invariants from non-abelian Yang-Baxter 2-cocycles |
| 260 | |b World Scientific Publishing Co. Pte Ltd |c 2016 | ||
| 270 | 1 | 0 | |m García Galofre, J.; Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos AiresArgentina; email: jgarciag@dm.uba.ar |
| 506 | |2 openaire |e Política editorial | ||
| 504 | |a Andruskiewitsch, N., Graña, M., From racks to pointed Hopf algebras (2003) Adv. Math, 178 (2), pp. 177-243 | ||
| 504 | |a 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 | ||
| 504 | |a 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 | ||
| 504 | |a 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 | ||
| 504 | |a 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 | ||
| 504 | |a Graña, M., Indecomposable racks of order p2 (2004) Beitr. Algebra Geom, 45 (2), pp. 665-676 | ||
| 504 | |a Lu, J., Yan, M., Zhu, Y., On set-theoretical Yang-Baxter equation (2000) Duke Math. J, 104, pp. 1-18 | ||
| 504 | |a Soloviev, A., Non-unitary set-theoretical solutions to the quantum Yang-Baxter equation (2000) Math. Res. Lett, 7 (5-6), pp. 577-596 | ||
| 520 | 3 | |a 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. |l eng | |
| 593 | |a Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Argentina | ||
| 593 | |a Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires. IMAS. CONICET, Argentina | ||
| 690 | 1 | 0 | |a KNOT AND LINK INVARIANTS |
| 690 | 1 | 0 | |a NON-ABELIAN COCYCLES |
| 700 | 1 | |a García Galofre, J. | |
| 773 | 0 | |d World Scientific Publishing Co. Pte Ltd, 2016 |g v. 25 |k n. 13 |p J. Knot Theory Ramifications |x 02182165 |w (AR-BaUEN)CENRE-5634 |t Journal of Knot Theory and its Ramifications | |
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| 856 | 4 | 0 | |u https://doi.org/10.1142/S021821651650070X |y DOI |
| 856 | 4 | 0 | |u https://hdl.handle.net/20.500.12110/paper_02182165_v25_n13_p_Farinati |y Handle |
| 856 | 4 | 0 | |u https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02182165_v25_n13_p_Farinati |y Registro en la Biblioteca Digital |
| 961 | |a paper_02182165_v25_n13_p_Farinati |b paper |c PE | ||
| 962 | |a info:eu-repo/semantics/article |a info:ar-repo/semantics/artículo |b info:eu-repo/semantics/publishedVersion | ||
| 999 | |c 76526 | ||