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Infinitely many knots with non-integral trace
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classification
math.GT
keywords
gammainfinitelymanytracealgebraiccomplementscontainselements
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abstract
We prove that there are infinitely many non-homeomorphic hyperbolic knot complements $S^3\setminus K_i = \mathbb{H}^3/\Gamma_i$ for which $\Gamma_i$ contains elements whose trace is an algebraic non-integer.
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