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math.GT2022
Geodesic surfaces in the complement of knots with small crossing number
Khanh Le, Rebekah Palmer
In this article, we investigate the problem of counting totally geodesic surfaces in the complement of hyperbolic knots with at most 9 crossings. Adapting previous counting techniq…
math.GT2020
Totally geodesic surfaces in twist knot complements
Khanh Le, Rebekah Palmer
In this article, we give explicit examples of infinitely many non-commensurable (non-arithmetic) hyperbolic -manifolds admitting exactly totally geodesic surfaces for any po…