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Brumfiel, G. ; Hilde, H. ; Lozano, M. T. ; Montesinos Amilibia, José María ; Ramirez, E. ; Short, H. ; Tejada Cazorla, Juan Antonio ; Toro, M. | World Scientific PublCo | 2017The main result of this paper is the construction of two Hyperbolic manifolds, M-1 and M-2, with several remarkable properties: (1) Every closed orientable 3-manifold is homeomorphic to the quotient space of the action of a group of order 16 on [...]texto impreso
Hilden, Hugh Michael ; Lozano Imízcoz, María Teresa ; Montesinos Amilibia, José María | World Scientific PublCo | 2011-10-10Representations of two bridge knot groups in the isometry group of some complete Riemannian 3-manifolds as E3 (Euclidean 3-space), H3 (hyperbolic 3-space) and E2, 1 (Minkowski 3-space), using quaternion algebra theory, are studied. We study the [...]texto impreso
Hilden, Hugh Michael ; Lozano Imízcoz, María Teresa ; Montesinos Amilibia, José María | World Scientific PublCo | 2013-01The complete classification of representations of the Trefoil knot group G in S3 and SL(2, ?), their affine deformations, and some geometric interpretations of the results, are given. Among other results, we also obtain the classification up to [...]texto impreso
Hilden, Hugh Michael ; Lozano Imízcoz, María Teresa ; Montesinos Amilibia, José María | World Scientific PublCo | 1995Let (p/q,n) be the 3-orbifold with base S3 and singular set the 2-bridge knot determined by the rational number p/q, with p and q odd and co-prime, and with cone angle 2?/n along the knot. In this paper the authors are interested in when the or[...]texto impreso
Carmona Ruber, Jorge ; Artal, E. ; Cogolludo, J.I. ; Tokunaga, H.O. | World Scientific PublCo | 2001is the first example of this kind known. The two curves of the pair have a trivial Alexander polynomial. The difference in the topology of their complements can only be detected via finer invariants or techniques. In our case the generic braid m[...]texto impreso
Hilden, Hugh Michael ; Lozano Imízcoz, María Teresa ; Montesinos Amilibia, José María | World Scientific PublCo | 1993Let (L,n) be the orbifold with singular set a nontoroidal 2-bridge knot or link L in S3, with cyclic isotropy group of order n. The authors show that the orbifold fundamental group ?=?1(L,12n) is universal: ? is isomorphic to a discrete group of[...]
