Heegaard diagrams and surgery descriptions for wwisted face-pairing 3-manifolds

J. W. Cannon, W. J. Floyd, and W. R. Parry
July 24, 2001


We give a simple algorithmic construction of a Heegaard diagram for an arbitrary twisted face-pairing 3-manifold. One family of meridian curves in the Heegaard diagram corresponds to the face pairs, and the other family is obtained from the first by a product of powers of Dehn twists. These Dehn twists are along curves which correspond to the edge cycles and the powers are the multipliers. From the Heegaard diagram, one can easily construct a framed link in the 3-sphere such that Dehn surgery on this framed link gives the twisted face-pairing manifold.

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