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Structure of symmetry group of some composite links and some applications

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Structure of symmetry group of some composite links and some applications

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dc.contributor.author Liu, Yang es_ES
dc.date.accessioned 2020-10-07T09:04:47Z
dc.date.available 2020-10-07T09:04:47Z
dc.date.issued 2020-10-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/151354
dc.description.abstract [EN] In this paper, we study the symmetry group of a type of composite topological links, such as 22m#22 . We have done a complete analysis on the elements of the symmetric group of this link and show the structure of the group. The results can be generalized to the study of the symmetry group of any composite topological link, and therefore it can be used for the classification of composite topological links, which can also be potentially used to identify synthetics molecules.  es_ES
dc.language Inglés es_ES
dc.publisher Universitat Politècnica de València es_ES
dc.relation.ispartof Applied General Topology es_ES
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject Knot es_ES
dc.subject Link es_ES
dc.subject Geometric topology es_ES
dc.subject Symmetry group es_ES
dc.subject Classification of links es_ES
dc.title Structure of symmetry group of some composite links and some applications es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.4995/agt.2020.10129
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Liu, Y. (2020). Structure of symmetry group of some composite links and some applications. Applied General Topology. 21(2):171-176. https://doi.org/10.4995/agt.2020.10129 es_ES
dc.description.accrualMethod OJS es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2020.10129 es_ES
dc.description.upvformatpinicio 171 es_ES
dc.description.upvformatpfin 176 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 21 es_ES
dc.description.issue 2 es_ES
dc.identifier.eissn 1989-4147
dc.relation.pasarela OJS\10129 es_ES
dc.description.references S. Akbulut and H. King, All knots are algebraic, Commentarii Mathematici Helvetici 56, no. 1 (1981), 339-351. https://doi.org/10.1007/BF02566217 es_ES
dc.description.references J. C. Álvarez Paiva and A. C. Thompson, Volumes on normed and Finsler spaces, Riemann-Finsler Geometry, MSRI Publications 49 (2004), 1-46. es_ES
dc.description.references M. F. Atiyah, The geometry and physics of knots, Cambridge University Press, 1990. https://doi.org/10.1017/CBO9780511623868 es_ES
dc.description.references A. Bernig, Valuations with crofton formula and finsler geometry, Advances in Mathematics 210, no. 2 (2007), 733-753. https://doi.org/10.1016/j.aim.2006.07.009 es_ES
dc.description.references J. H. Conway, An enumeration of knots and links, and some of their algebraic properties, in: Computational Problems in Abstract Algebra (Proc. Conf., Oxford, 1967), pages 329-358, 1970. https://doi.org/10.1016/B978-0-08-012975-4.50034-5 es_ES
dc.description.references P. R. Cromwel, Knots and links, Cambridge University Press, 2004. https://doi.org/10.1017/CBO9780511809767 es_ES
dc.description.references I. K. Darcy, Biological distances on dna knots and links: applications to xer recombination, Journal of Knot Theory and its Ramifications 10, no. 2 (2001), 269-294. https://doi.org/10.1142/S0218216501000846 es_ES
dc.description.references D. S. Dummit and R. M. Foote, Abstract algebra, volume 1999, Prentice Hall Englewood Cliffs, NJ, 1991. es_ES
dc.description.references M. H. Freedman, R. E. Gompf, S. Morrison and K. Walker, Man and machine thinking about the smooth 4-dimensional Poincaré conjecture, Quantum Topology 1, no. 2 (2010), 171-208. https://doi.org/10.4171/QT/5 es_ES
dc.description.references M.-L. Ge and Ch. N. Yang, Braid group, knot theory and statistical mechanics, World Scientific, 1989. es_ES
dc.description.references D. Gorenstein, R. Lyons and R. Solomon, The classification of finite simple groups, volume 1, Plenum Press New York, 1983. https://doi.org/10.1007/978-1-4613-3685-3_1 es_ES
dc.description.references L. H. Kauffman, Knots and physics, volume 53, World scientific, 2013. https://doi.org/10.1142/8338 es_ES
dc.description.references X.-S. Lin, Z. Wang, et al., Integral geometry of plane curves and knot invariants, J. Differential Geom. 44, no. 1 (1996), 74-95. https://doi.org/10.4310/jdg/1214458740 es_ES
dc.description.references Y. Liu, Ropelength under linking operation and enzyme action, General Mathematics 16, no. 1 (2008), 55-58. es_ES
dc.description.references Y. Liu, On the range of cosine transform of distributions for torus-invariant complex Minkowski spaces, Far East Journal of Mathematical Sciences 39, no. 2 (2010), 733-753. es_ES
dc.description.references Y. Liu, On the explicit formula of Holmes-Thompson areas in integral geometry, preprint. es_ES
dc.description.references M. W. Scheeler, D. Kleckner, D. Proment, G. L Kindlmann and W. T. M. Irvine, Helicity conservation by flow across scales in reconnecting vortex links and knots, Proceedings of the National Academy of Sciences 111, no. 43 (2014), 15350-15355. https://doi.org/10.1073/pnas.1407232111 es_ES
dc.description.references A. Stasiak, V. Katritch and L. H. Kauffman, Ideal Knots, Series on Knots and Everything, Vol. 19, World Scientific, Singapore, 1998. https://doi.org/10.1142/3843 es_ES
dc.description.references D. W. Sumners, Untangling Dna, The Mathematical Intelligencer 12, no. 3 (1990), 71-80. https://doi.org/10.1007/BF03024022 es_ES
dc.description.references D. W. Sumners, The knot theory of molecules, Journal of mathematical chemistry 1, no. 1 (1987), 1-14. https://doi.org/10.1007/BF01205335 es_ES
dc.description.references S. A. Wasserman, J. M. Dungan and N. R. Cozzarelli, Discovery of a predicted DNA knot substantiates a model for site-specific recombination, Science 229, no. 4709 (1985), 171-174. https://doi.org/10.1126/science.2990045 es_ES


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