RT Journal Article
T1 On continuous families of geometric Seifert conemanifold structures
A1 Lozano Imízcoz, María Teresa
A1 Montesinos Amilibia, José María
AB 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 (Formula presented.) 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 (Formula presented.). As a consequence we generalize to all torus knots the results obtained in [Geometric conemanifolds structures on (Formula presented.), the result of (Formula presented.) surgery in the left-handed trefoil knot (Formula presented.), 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.
PB World Scientific Publishing Co. Pte Ltd
SN 02182165
YR 2016
FD 2016
LK https://hdl.handle.net/20.500.14352/24692
UL https://hdl.handle.net/20.500.14352/24692
LA eng
NO Ministerio de Ciencia e Innovación (MICINN)
NO Gobierno de Aragón/Fondo Social Europeo
DS Docta Complutense
RD 9 abr 2025