Timeline for Conceptual explanation for the relationship between Clifford algebras and KO
Current License: CC BY-SA 3.0
4 events
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| Aug 7, 2013 at 15:22 | comment | added | Urs Schreiber | Yes, that much is clear: the sphere spectrum, as an $E_\infty$-ring, is free on a single element, which means that it is the "free abelian $\infty$-group" on a single element, which means that its n-truncation is the "free Picard n-category" on a single generator. | |
| Aug 7, 2013 at 15:18 | comment | added | Callan McGill | Dear Urs, this seems extremely insightful, I will have to look more thoroughly through your links and the attached references. Am I to understand Kapranov as suggesting that the free Picard n-category (whatever this is) should be in some sense (presumably via an appropriate nerve construction) given by the truncation of the sphere spectrum? Many Thanks, | |
| Aug 7, 2013 at 7:14 | history | edited | Urs Schreiber | CC BY-SA 3.0 |
added 20 characters in body
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| Aug 7, 2013 at 7:09 | history | answered | Urs Schreiber | CC BY-SA 3.0 |