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Timeline for Question about spin map

Current License: CC BY-SA 4.0

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Apr 18, 2022 at 15:12 comment added Sebastian Goette The bundle $SN\otimes f^*SM$ would be a spinor bundle for $TN\oplus f^*TM$, which has second Stiefel-Whitney class $w_2(TN)+f^*w_2(TM)+w_1(TN)\smile f^*w_1(TM)$. So unless both manifolds are nonorientable, your description is correct.
Apr 15, 2022 at 6:02 history asked Radeha Longa CC BY-SA 4.0