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Small isospectral and nonisometric orbifolds of dimension 2 and 3

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Abstract

Revisiting a construction due to Vignéras, we exhibit small pairs of orbifolds and manifolds of dimension 2 and 3 arising from arithmetic Fuchsian and Kleinian groups that are Laplace isospectral (in fact, representation equivalent) but nonisometric.

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  1. Department of Mathematics, University of Michigan, 530 Church Street, Ann Arbor, MI, 48109, USA

    Benjamin Linowitz

  2. Department of Mathematics, Dartmouth College, 6188 Kemeny Hall, Hanover, NH, 03755, USA

    John Voight

  3. Department of Mathematics and Statistics, University of Vermont, 16 Colchester Ave, Burlington, VT, 05401, USA

    John Voight

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Linowitz, B., Voight, J. Small isospectral and nonisometric orbifolds of dimension 2 and 3. Math. Z. 281, 523–569 (2015). https://doi.org/10.1007/s00209-015-1500-1

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