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We will describe a way to construct Ford domains of cusped
hyperbolic 3-manifolds on maximal cusp diagrams and compute fundamental
groups using face pairing maps as generators and Cannon-Floyd-
Parry’s edge cycles as relations. We also describe explicitly a cutting and
pasting alteration to reduce the number of faces on the bottom region
of Ford domains. We expect that our analysis of Ford domains will be
useful on other future research.
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참고문헌 (5)
참고문헌 신청
C. Adams / 1991 / Hyperbolic invariants of knots and links / Transactions of the American Mathematical Society 326 (1) : 1 ~ 56
D. B. A. Epstein / 1988 / Euclidean decompositions of noncompact hyperbolic manifolds / Journal of Differential Geometry 27 (1) : 67 ~ 80
J. W. Cannon / 2000 / Introduction to twisted face-pairings / Mathematical Research Letters 7 (4) : 477 ~ 491
N. M. Dunfield / 2003 / The virtual Haken conjecture: experiments and examples / Geometry & Topology 7 : 399 ~ 441
P. J. Callahan / 1999 / A census of cusped hyperbolic 3-manifolds, With microfiche supplement / Mathematics of Computation 68 (225) : 321 ~ 332
D. B. A. Epstein / 1988 / Euclidean decompositions of noncompact hyperbolic manifolds / Journal of Differential Geometry 27 (1) : 67 ~ 80
J. W. Cannon / 2000 / Introduction to twisted face-pairings / Mathematical Research Letters 7 (4) : 477 ~ 491
N. M. Dunfield / 2003 / The virtual Haken conjecture: experiments and examples / Geometry & Topology 7 : 399 ~ 441
P. J. Callahan / 1999 / A census of cusped hyperbolic 3-manifolds, With microfiche supplement / Mathematics of Computation 68 (225) : 321 ~ 332
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