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when toggle format what by license comment
Mar 5, 2020 at 10:41 comment added Diego95 I do not know. It seems to me that in the article they always have these orientability construction. Maybe since they are working with double covers it is easier to compute the $\mathbb{Z}/2\mathbb{Z}$-homology?
Mar 4, 2020 at 16:14 comment added John Greenwood To apply the Gysin sequence with $\mathbb{Q}$-coefficient you need an orientability condition on your bundle. Maybe they want to circumvent that?
Mar 4, 2020 at 11:43 history asked Diego95 CC BY-SA 4.0