Timeline for Explicit Spin Structures on the Torus
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| S May 19, 2022 at 3:28 | history | suggested | The Amplitwist | CC BY-SA 4.0 |
fixed broken link to springerlink.com
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| May 19, 2022 at 0:39 | review | Suggested edits | |||
| S May 19, 2022 at 3:28 | |||||
| Jan 31, 2010 at 21:19 | comment | added | john mangual | I'm sorry for causing so much confusion. These references look helpful, as does "Spin Geometry" by Lawson and Michelson. | |
| Jan 30, 2010 at 23:28 | comment | added | Ryan Budney | Ah, yes, typo. I meant to say $Spin(3)$. | |
| Jan 30, 2010 at 22:10 | comment | added | José Figueroa-O'Farrill | Thanks for this last reference. I knew there was a paper on l'Enseignement, but I had forgotten the author and title! It's in my office, but I'm at home now. As to your first comment, $\mathrm{SU}(2)$ is not isomorphic to $\mathrm{Spin}(2)$, but to $\mathrm{Spin}(3)$. | |
| Jan 30, 2010 at 21:52 | comment | added | Ryan Budney | Another standard spin structure reference would be Milnor's l'Enseignement paper. | |
| Jan 30, 2010 at 21:35 | comment | added | Ryan Budney | One common way to represent spin structures on $2$-dimensional vector bundles is to consider the $SO(2)$ as the subgroup of $SO(3)$ that fixes an axis, so the double cover of $SO(2)$ is naturally a subgroup of $Spin(2) \equiv SU(2)$. So I suspect John is using a formulation of spin structures that factors through this construction. | |
| Jan 30, 2010 at 21:26 | history | answered | José Figueroa-O'Farrill | CC BY-SA 2.5 |