Orientation reversing involutions on Brieskorn spheres
The purpose of this paper is to classify the orientation reversing involutions on Brieskorn spheres of dimension \(4k+1\) which are defined by the conjugation of complex numbers. In this case, the fixed point set is of dimension 2k and to classify these examples, we meet with the failure of the ''gap hypothesis''. However, with the aid of \(Z_ 2\)-surgery theory due to \textit{K. H. Dovermann} [Michigan Math. J. 28, 267-287 (1981; Zbl 0491.57014)], this situation can be handled.
orientation reversing involutions on Brieskorn spheres
scientific article; zbMATH DE number 4005169