Bi-twist manifolds and two-bridge knots

J. W. Cannon; W. J. Floyd; L. Lambert; W. R. Parry; J. S. Purcell

doi:10.2140/pjm.2016.284.1

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arXiv · 1306.4564

Bi-twist manifolds and two-bridge knots

J. W. Cannon·W. J. Floyd·L. Lambert·W. R. Parry·J. S. Purcell

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Abstract

We give uniform, explicit, and simple face-pairing descriptions of all the branched cyclic covers of the 3-sphere, branched over two-bridge knots. Our method is to use the bi-twisted face-pairing constructions of Cannon, Floyd, and Parry; these examples show that the bi-twist construction is often efficient and natural. Finally, we give applications to computations of fundamental groups and homology of these branched cyclic covers.

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BibTeX RIS

J. W. Cannon, W. J. Floyd, L. Lambert, W. R. Parry, J. S. Purcell. 2013-06-19. Bi-twist manifolds and two-bridge knots. https://doi.org/10.2140/pjm.2016.284.1

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