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. Wefind 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 byexceptional surgeries on hyperbolic 2-bridge knots.
DEHN SURGERIES ON SOME CLASSICAL LINKS / Cavicchioli, Alberto; Spaggiari, Fulvia; Telloni, Agnese Ilaria. - In: PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY. - ISSN 0013-0915. - ELETTRONICO. - 54:1(2011), pp. 33-45. [10.1017/S0013091509000777]
DEHN SURGERIES ON SOME CLASSICAL LINKS
CAVICCHIOLI, Alberto;SPAGGIARI, Fulvia;TELLONI, Agnese Ilaria
2011
Abstract
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. Wefind 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 byexceptional surgeries on hyperbolic 2-bridge knots.
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