On continuous families of geometric Seifert conemanifold structures

Lozano, M.T. (Universidad de Zaragoza) ; Montesinos-Amilibia, J.

Resumen: In this paper, dedicated to Prof. Lou Kauffman, we determine the Thurston''s geometry possesed by any Seifert fibered conemanifold structure in a Seifert manifold with orbit space S2 and no more than three exceptional fibers, whose singular set, composed by fibers, has at most three components which can include exceptional or general fibers (the total number of exceptional and singular fibers is less than or equal to three). We also give the method to obtain the holonomy of that structure. We apply these results to three families of Seifert manifolds, namely, spherical, Nil manifolds and manifolds obtained by Dehn surgery on a torus knot K(r, s). As a consequence we generalize to all torus knots the results obtained in Geometric conemanifolds structures on Tp/q, the result of p/q surgery in the left-handed trefoil knot T, J. Knot Theory Ramifications 24(12) (2015), Article ID: 1550057, 38pp., doi: 10.1142/S0218216515500571] for the case of the left handle trefoil knot. We associate a plot to each torus knot for the different geometries, in the spirit of Thurston.

Idioma: Inglés

DOI: 10.1142/S0218216516500838

Año: 2016

Publicado en: JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS 25, 14 (2016), [35 pp]
ISSN: 0218-2165

Originalmente disponible en: Texto completo de la revista

Factor impacto JCR: 0.363 (2016)

Categ. JCR: MATHEMATICS rank: 273 / 310 = 0.881 (2016) - Q4 - T3

Factor impacto SCIMAGO: 0.539 - Algebra and Number Theory (Q3)

Financiación: info:eu-repo/grantAgreement/ES/DGA/E15
Financiación: info:eu-repo/grantAgreement/ES/MICINN/MTM2013-45710-C2-1-P
Financiación: info:eu-repo/grantAgreement/ES/MICINN/MTM2015-63612-P

Tipo y forma: Artículo (PostPrint)

Área (Departamento): Área Geometría y Topología (Dpto. Matemáticas)