Timeline for Existence of a local spinor bundle
Current License: CC BY-SA 4.0
6 events
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| Apr 13, 2022 at 7:49 | comment | added | Julian Seipel | The existence of a spin-structure and thus an associated spinor bundle is purely topological and obstructed by the first and second Stiefel-Whitney-class, which vanish in your situation, since you have sufficiently small open subsets, which we can be choosen contractible. | |
| Apr 13, 2022 at 1:49 | comment | added | Buzz | Are you talking about how you can construct the bundle directly out of inhomogeneous sums of differential forms as in J. Math. Phys. 37, 3882 (1996) aip.scitation.org/doi/10.1063/1.531607 ? | |
| Apr 13, 2022 at 1:12 | comment | added | Radeha Longa | @IgorKhavkine I edited my question again. | |
| Apr 13, 2022 at 1:11 | history | edited | Radeha Longa | CC BY-SA 4.0 |
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| Apr 12, 2022 at 10:07 | comment | added | Igor Khavkine | I'm not sure I understand your question. Sufficiently small (say contractible ones), open subsets of $M$ are themselves spin manifolds. So doesn't your first sentence already answer your second sentence? | |
| Apr 12, 2022 at 8:51 | history | asked | Radeha Longa | CC BY-SA 4.0 |