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Showing 2012 · math.GTShow all
3 papers · 2 filters
math.GT2012★ 4 cited
The Link Volume of Hyperbolic 3-Manifolds
Yo'av Rieck, Yasushi Yamashita
We prove that for any V>0, there exist a hyperbolic manifold M_V, so that Vol(M_V) < 2.03 and LinVol(M_V) > V. The proof requires study of cosmetic surgery on links (equivalently,…
math.GT2012★ 31 cited
Heegaard splittings of distance exactly
Ayako Ido, Yeonhee Jang, Tsuyoshi Kobayashi
In this paper, we show that, for any integers and , there exist genus- Heegaard splittings of compact 3-manifolds with distance exactly .
math.GT2012★ 4 cited
The Link Volume of 3-Manifolds
Yo'av Rieck, Yasushi Yamashita
We view closed orientable 3-manifolds as covers of S^3 branched over hyperbolic links. For a p-fold cover M \to S^3, branched over a hyperbolic link L, we assign the complexity p V…