Klein slopes on hyperbolic 3-manifolds
2007 ◽
Vol 143
(2)
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pp. 419-447
AbstractThis paper is devoted to 3-manifolds which admit two distinct Dehn fillings producing a Klein bottle.LetMbe a compact, connected and orientable 3-manifold whose boundary contains a 2-torusT. IfMis hyperbolic then only finitely many Dehn fillings alongTyield non-hyperbolic manifolds. We consider the situation where two distinct slopes γ1, γ2produce a Klein bottle. We give an upper bound for the distance Δ(γ1, γ2), between γ1and γ2. We show that there are exactly four hyperbolic manifolds for which Δ(γ1, γ2) > 4.
2005 ◽
Vol 92
(1)
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pp. 203-223
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2001 ◽
Vol 10
(05)
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pp. 781-794
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2003 ◽
Vol 46
(2)
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pp. 265-267
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2013 ◽
Vol 22
(13)
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pp. 1350072
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2008 ◽
Vol 60
(1)
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pp. 164-188
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1992 ◽
Vol 112
(2)
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pp. 255-270
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2010 ◽
Vol 19
(05)
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pp. 677-694
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