[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2008.45.4.1007

FACE PAIRING MAPS OF FORD DOMAINS FOR CUSPED HYPERBOLIC 3-MANIFOLDS

Hong, Sung-Bok (Department of Mathematics Korea University)
Kim, Jung-Soo (Department of Mathematics Korea University)

Publication Information

Journal of the Korean Mathematical Society / v.45, no.4, 2008 , pp. 1007-1025 More about this Journal

Abstract

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.

Keywords

cusp hyperbolic 3-manifold; Ford domain; face pairing map;

Citations & Related Records

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Reference

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