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Correction to “Isospectral surfaces of small genus,” (Nagoya Math. J. Vol. 107 (1987), 13-24)

Published online by Cambridge University Press:  22 January 2016

Robert Brooks
Affiliation:
Department of Mathematics, University of Southern California, Los Angeles, California 90089-1113, U.S.A.
Richard Tse
Affiliation:
Department of Mathematics, University of Southern California, Los Angeles, California 90089-1113, U.S.A.
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It was brought to our attention by Zoran Luicic and Milica Stojanovic, via Peter Gilkey, that some of the diagrams in our paper are not correct.

The particular problems are the gluing diagrams for the pair of isospectral surfaces of genus 4, which occur on page 20. It is easy to check that the gluing diagrams given there give rise to a surface of the wrong genus. The problem arose because of carelessness in some of the identifications of some of the edges of the fundamental domain.

Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1990