Cyclic groups with the same Hodge series
Rings and Algebras
2014-04-10 v1 Differential Geometry
Spectral Theory
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
Keywords
Cite
@article{arxiv.1404.2574,
title = {Cyclic groups with the same Hodge series},
author = {Daryl R. DeFord and Peter G. Doyle},
journal= {arXiv preprint arXiv:1404.2574},
year = {2014}
}