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Journal ArticleDate
2013-08-14Author
Futer, DPurcell, JS
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http://hdl.handle.net/20.500.12613/5947
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10.4310/CAG.2013.v21.n3.a7Abstract
We prove an explicit, quantitative criterion that ensures the Heegaard surfaces in Dehn fillings behave "as expected." Given a cusped hyperbolic 3-manifold X, and a Dehn filling whose meridian and longitude curves are longer than 2π(2g - 1), we show that every genus g Heegaard splitting of the filled manifold is isotopic to a splitting of the original manifold X. The analogous statement holds for fillings of multiple boundary tori. This gives an effective version of a theorem of Moriah-Rubinstein and Rieck-Sedgwick.Citation to related work
International Press of BostonHas part
Communications in Analysis and GeometryADA compliance
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http://dx.doi.org/10.34944/dspace/5929