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- W2963459898 abstract "In this paper, we explicitly construct large classes of incommensurable hyperbolic knot complements with the same volume and the same initial (complex) length spectrum. Furthermore, we show that these knot complements are the only knot complements in their respective commensurabiltiy classes by analyzing their cusp shapes. The knot complements in each class differ by a topological cut-and-paste operation known as mutation. Ruberman has shown that mutations of hyperelliptic surfaces inside hyperbolic 3-manifolds preserve volume. Here, we provide geometric and topological conditions under which such mutations also preserve the initial (complex) length spectrum. This work requires us to analyze when least area surfaces could intersect short geodesics in a hyperbolic 3-manifold." @default.
- W2963459898 created "2019-07-30" @default.
- W2963459898 creator A5053997000 @default.
- W2963459898 date "2017-01-01" @default.
- W2963459898 modified "2023-09-27" @default.
- W2963459898 title "Mutations and short geodesics in hyperbolic 3-manifolds" @default.
- W2963459898 doi "https://doi.org/10.4310/cag.2017.v25.n3.a5" @default.
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