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Rendiconti dell’Istituto di matematica dell’Università di Trieste: an International Journal of Mathematics >
Rendiconti dell' Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.39 (2007) >
Please use this identifier to cite or link to this item:
http://hdl.handle.net/10077/4120
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| Title: | On Hyperbolic $\pi-Orbifolds$ with Arbitrary many Singular Components |
| Authors: | Vesnin, Andrei |
| Keywords: | Hyperbolic 3-Manifolds Hyperelliptic Involution $\pi-Orbifolds$ |
| Issue Date: | 2007 |
| Publisher: | EUT Edizioni Università di Trieste |
| Citation: | Andrei Vesnin, "On Hyperbolic $\pi-Orbifolds$ with Arbitrary many Singular Components”, in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 39 (2007), pp. 375–386. |
| Series/Report no.: | Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics 39 (2007) |
| Abstract: | We construct a family of (n + 1)-component links $\mathcal{L}_n$
which are closures of rational 3-string braids
$(\sigma_1^{-1/2}\sigma_2^2)^n$
and show that for n \geq 3 they arise as singular sets of hyperbolic
$\pi-orbifolds$. Moreover, their 2-fold branched coverings are described
by Dehn surgeries. |
| URI: | http://hdl.handle.net/10077/4120 |
| ISSN: | 0049-4704 |
| MS Classification: | 57M25 |
| Appears in Collections: | Rendiconti dell' Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.39 (2007)
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