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cyclic branched coverings

Proceedings of the Edinburgh Mathematical Society (1)

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Dehn surgeries on some classical links
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Alberto Cavicchioli, Fulvia Spaggiari, Agnese Ilaria Telloni
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 54 / Issue 1 / February 2011

Published online by Cambridge University Press:

19 January 2011, pp. 33-45
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We consider orientable closed connected 3-manifolds obtained by performing Dehn surgery on the components of some classical links such as Borromean rings and twisted Whitehead links. We find geometric presentations of their fundamental groups and describe many of them as 2-fold branched coverings of the 3-sphere. Finally, we obtain some topological applications on the manifolds given by exceptional surgeries on hyperbolic 2-bridge knots.