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- W2959951605 abstract "Building off ideas developed by Agol, we construct a family of hyperbolic knots $K_n$ whose complements contain no closed incompressible surfaces and have Heegaard genus exactly $n$. These are the first known examples of small knots having large Heegaard genus. Using work of Futer and Purcell, we are able to bound the crossing number for each $K_n$ in terms of $n$." @default.
- W2959951605 created "2019-07-23" @default.
- W2959951605 creator A5079619946 @default.
- W2959951605 date "2019-07-16" @default.
- W2959951605 modified "2023-09-27" @default.
- W2959951605 title "Small knots of large Heegaard genus" @default.
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