ON THE CRYSTALLIZATION OF 3-MANIFOLDS ASSOCIATED WITH POLYHEDRAL SCHEMATA

  • Ko, Kyung-Hee ;
  • Song, Hyun-Jong
  • Published : 1999.03.01

Abstract

In this paper we introduce a method of presenting 3-manifolds by polyhedral schemata with 2 vertices so that they may be naturally associated with given crystallizations of 3-manifolds. As applications, we explicitly present crystallizations of n-fold cyclic branched coverings of S over 2-bridge knots.

Keywords

crystallizations;polyhedral schemata;Heegaard diagrams;cyclic branched coverings;2-bridge knots

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