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- W2767221660 abstract "We show that the set of cusp shapes of hyperbolic tunnel number one manifolds is dense in the Teichmuller space of the torus. A similar result holds for tunnel number n manifolds. As a consequence, for fixed n, there are infinitely many hyperbolic tunnel number n manifolds with at most one exceptional Dehn filling. This is in contrast to large volume Berge knots, which are tunnel number one manifolds, but with cusp shapes converging to a single point in Teichmuller space." @default.
- W2767221660 created "2017-11-17" @default.
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- W2767221660 date "2017-11-09" @default.
- W2767221660 modified "2023-09-27" @default.
- W2767221660 title "Cusp shape and tunnel number" @default.
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- W2767221660 doi "https://doi.org/10.48550/arxiv.1711.03693" @default.
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