Artículos en revistas:
Homogeneous links and the Seifert matrix
Año:2012
Áreas de investigación
- Física química y matemáticas
Datos
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Descripción
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| Homogeneous links were introduced by Peter Cromwell, who pr oved that the projection surface of these links, that given by the Seifert al- gorithm, has minimal genus. Here we provide a different proof , with a geometric rather than combinatorial flavor. To do this, we fir st show a direct relation between the Seifert matrix and the decompo sition into blocks of the Seifert graph. Precisely, we prove that the Sei fert matrix can be arranged in a block triangular form, with small boxes in th e diagonal corresponding to the blocks of the Seifert graph. Then we pro ve that the boxes in the diagonal has non-zero determinant, by looking a t an explicit matrix of degrees given by the planar structure of the Seifer t graph. The paper contains also a complete classification of the homogen eous knots of genus one. | |
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Internacional
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JCR del ISI
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No |
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Título de la revista
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Pacific Journal of Mathematics |
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ISSN
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0030-8730 |
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Factor de impacto JCR
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Información de impacto
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Volumen
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255 |
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DOI
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DOI: 10.2140/pjm.2012.255.373 |
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Número de revista
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2 |
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Desde la página
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373 |
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Hasta la página
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392 |
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Mes
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SIN MES |
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Ranking
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Participantes
- Autor: Pedro Maria Gonzalez Manchon UPM
Grupos de investigación, Departamentos, Centros e Institutos de I+D+i relacionados
- Creador: Departamento: Matemática Aplicada (E.U.I.T. Industrial)