Seifert fibrations of lens spaces over non-orientable bases

TL;DR

This paper classifies Seifert fibrations of lens spaces with non-orientable base orbifolds, correcting previous errors and completing the classification of such fibrations.

Contribution

It provides a corrected and extended classification of Seifert fibrations of lens spaces over non-orientable bases, addressing prior inaccuracies.

Findings

Corrected Lemma 4.1 in previous work

Completed classification of Seifert fibrations over non-orientable bases

Clarified the structure of lens space fibrations

Abstract

We classify the Seifert fibrations of lens spaces where the base orbifold is non-orientable. This is an addendum to our earlier paper `Seifert fibrations of lens spaces'. We correct Lemma 4.1 of that paper and fill the gap in the classification that resulted from the erroneous lemma.