Product involutions with 0 or 1 -dimensional fixed point sets on orientable handlebodies

Roger B. Nelson

International Journal of Mathematics and Mathematical Sciences, 1994, vol. 17, 1-6

Abstract:

Let h be an involution with a 0 or 1 -dimensional fixed point set on an orientable handlebody M . We show that obvious necessary conditions for fibering M as A × I so that h = τ × r with τ an involution of A and r reflection about the midpoint of I also turn out to be sufficient. We also show that such a product involution is determined by its fixed point set.

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:654879

DOI: 10.1155/S0161171294000669

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