Artículo
Farinati, M.; Guccione, J.A.; Guccione, J.J. "The Homology of Free Racks and Quandles" (2014) Communications in Algebra. 42(8):3593-3606
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Abstract:
We prove that rack (resp. quandle) homology of the free rack (resp. free quandle) is trivial. © 2014 Copyright Taylor & Francis Group, LLC.
Registro:
| Documento: | Artículo |
| Título: | The Homology of Free Racks and Quandles |
| Autor: | Farinati, M.; Guccione, J.A.; Guccione, J.J. |
| Filiación: | Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Pabellón 1-Ciudad Universitaria, Buenos Aires, Argentina |
| Palabras clave: | Homology; Quandles; Racks |
| Año: | 2014 |
| Volumen: | 42 |
| Número: | 8 |
| Página de inicio: | 3593 |
| Página de fin: | 3606 |
| DOI: | http://dx.doi.org/10.1080/00927872.2013.790392 |
| Título revista: | Communications in Algebra |
| Título revista abreviado: | Commun. Algebra |
| ISSN: | 00927872 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00927872_v42_n8_p3593_Farinati |
Referencias:
- Brieskorn, E., Automorphic sets and singularities (1988) Contemporary Maths., 28, pp. 45-115
- Carter, J.S., A Survey of Quandle Ideas (2012) Series on Knots and Everything, 46, pp. 22-53. , In: Kauffman Louis H., editors Introductory Lectures on Knot Theory: Selected Lectures Presented at the Advanced School and Conference on Knot Theory and Its Applications to Physics and Biology, ICTP, Trieste, Italy, May 11-29, 2009, Hackensack, NJ: World Scientific; Trieste: ICTP-The Abdas Salam International Center for Theorectical Physics (ISBN 978-981-4307-99-4/hbk; 978-981-4313-00-1/ebook)
- Carter, S., Jelsovsky, D., Kamada, S., Langford, L., Saito, M., Quandle cohomology and state-sum invariants of knotted curves and surfaces (2003) Trans. Amer. Math. Soc., 355 (10), pp. 3947-3989
- Fenn, R., Rourke, C., Racks and links in codimension two (1992) Journal of Knot Theory and Its Ramifications, 1 (4), pp. 343-406
- Fenn, R., Rourke, C., Sanderson, B., James bundles and applications (2004) Proc. London Math. Soc., 3 (89), pp. 217-240
- Joyce, D., A classifying invariant of knots, the knot quandle (1982) J. Pure Appl. Alg., 23, pp. 37-65
- Kauffman, L.H., Knot Cristals, Classical Knot Theory in Modern Guise, Knot and Physics Serie on Knots and Everything, World Scientific
- Matveev, S.V., Distributive groupoids in knot theory (1984) Math. USSR Sbornik, 47 (1), pp. 73-83
Citas:
---------- APA ----------
Farinati, M., Guccione, J.A. & Guccione, J.J. (2014) . The Homology of Free Racks and Quandles. Communications in Algebra, 42(8), 3593-3606.http://dx.doi.org/10.1080/00927872.2013.790392
---------- CHICAGO ----------
Farinati, M., Guccione, J.A., Guccione, J.J. "The Homology of Free Racks and Quandles" . Communications in Algebra 42, no. 8 (2014) : 3593-3606.http://dx.doi.org/10.1080/00927872.2013.790392
---------- MLA ----------
Farinati, M., Guccione, J.A., Guccione, J.J. "The Homology of Free Racks and Quandles" . Communications in Algebra, vol. 42, no. 8, 2014, pp. 3593-3606.http://dx.doi.org/10.1080/00927872.2013.790392
---------- VANCOUVER ----------
Farinati, M., Guccione, J.A., Guccione, J.J. The Homology of Free Racks and Quandles. Commun. Algebra. 2014;42(8):3593-3606.http://dx.doi.org/10.1080/00927872.2013.790392
