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We construct a family of hyperbolic 3-manifolds by pairwise
identifications of faces in the boundary of certain polyhedral 3-balls and
prove that all these manifolds are cyclic branched coverings of the 3-sphere over certain family of links with two components. These extend some results from [5] and [10] concerning with the branched coverings of the whitehead link.
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참고문헌 (17)
참고문헌 신청
A. Cavicchioli / 1998 / A geometric study of Sieradski groups / Algebra Colloq. 5 (2) : 203 ~ 217
A. Cavicchioli / 1999 / On cyclic branched coverings of torus knots / J. Geom. 64 (1) : 55 ~ 66
A. Cavicchioli / 2000 / On certain classes of hyperbolic 3-manifolds / Manuscripta Math 101 (4) : 457 ~ 494
C. Gagliardi / 1979 / A combinatorial characterization of 3-manifold crystallizations / Boll. Un. Mat. Ital. A 16 (3) : 441 ~ 449
H. Helling / 1995 / Some honey-combs in hyperbolic 3-space / Comm. Algebra 23 (14) : 5169 ~ 5206
A. Cavicchioli / 1999 / On cyclic branched coverings of torus knots / J. Geom. 64 (1) : 55 ~ 66
A. Cavicchioli / 2000 / On certain classes of hyperbolic 3-manifolds / Manuscripta Math 101 (4) : 457 ~ 494
C. Gagliardi / 1979 / A combinatorial characterization of 3-manifold crystallizations / Boll. Un. Mat. Ital. A 16 (3) : 441 ~ 449
H. Helling / 1995 / Some honey-combs in hyperbolic 3-space / Comm. Algebra 23 (14) : 5169 ~ 5206
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