Timeline for Cartesian product of spin manifolds [closed]
Current License: CC BY-SA 4.0
11 events
| when toggle format | what | by | license | comment | |
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| S Aug 25, 2022 at 14:24 | history | migration rejected | |||
| S Aug 25, 2022 at 14:24 | history | unlocked | CommunityBot | ||
| S Aug 24, 2022 at 17:34 | history | migrated |
Chris Gerig Michael Albanese abx M.G. Ryan Budney |
to math.stackexchange.com | |
| S Aug 24, 2022 at 17:34 | history | locked | CommunityBot | ||
| S Aug 24, 2022 at 17:34 | history | closed |
Chris Gerig Michael Albanese abx M.G. Ryan Budney |
Not suitable for this site | |
| Aug 24, 2022 at 16:18 | comment | added | mme | This amounts to the existence of a homomorphism $\text{Spin}(n) \times \text{Spin}(m) \to \text{Spin}(n+m)$ lifting the direct sum homomorphism between orthogonal groups, which is quickly constructed in terms of whatever your favorite definition of Spin is. With the double cover perspective, special care must be taken with Spin(1) and Spin(2). With the Clifford algebra perspective there is no difficulty. | |
| Aug 24, 2022 at 16:18 | review | Close votes | |||
| S Aug 24, 2022 at 17:43 | |||||
| Aug 24, 2022 at 16:07 | review | Low quality posts | |||
| Aug 24, 2022 at 16:25 | |||||
| Aug 24, 2022 at 16:00 | comment | added | Chris Gerig | Yes, for example see Milnor's cute paper "Remarks concerning spin manifolds". In particular using the Whitney sum this implies the "spin bordism ring" is a ring. | |
| S Aug 24, 2022 at 15:46 | review | First questions | |||
| S Aug 24, 2022 at 17:43 | |||||
| S Aug 24, 2022 at 15:46 | history | asked | Anton Sergeev | CC BY-SA 4.0 |