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arXiv · 1404.2574

Cyclic groups with the same Hodge series

Daryl R. DeFord·Peter G. Doyle
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Abstract

The Hodge series of a finite matrix group is the generating function for invariant exterior forms of specified order and degree. Lauret, Miatello, and Rossetti gave examples of pairs of non-conjugate cyclic groups having the same Hodge series; the corresponding space forms are isospectral for the Laplacian on p-forms for all p, but not for all natural operators. Here we explain, simplify, and extend their investigations

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Daryl R. DeFord, Peter G. Doyle. 2014-04-09. Cyclic groups with the same Hodge series. https://arxiv.org/abs/1404.2574

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