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- W3099857725 abstract "In 2001, J. Hempel proved the existence of Heegaard splittings of arbitrarily high distance by using a high power of a pseudo-Anosov map as the gluing map between two handlebodies. We show that lower bounds on distance can also be obtained when using a high power of a suitably chosen Dehn twist. In certain cases, we can then determine the exact distance of the resulting splitting. These results can be seen as a natural extension of work by A. Casson and C. Gordon in 1987 regarding strongly irreducible Heegaard splittings." @default.
- W3099857725 created "2020-11-23" @default.
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- W3099857725 date "2014-03-21" @default.
- W3099857725 modified "2023-10-16" @default.
- W3099857725 title "High distance Heegaard splittings via Dehn twists" @default.
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- W3099857725 doi "https://doi.org/10.2140/agt.2014.14.979" @default.
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