Timeline for Algebraic K-theory and Witt groups
Current License: CC BY-SA 4.0
18 events
| when toggle format | what | by | license | comment | |
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| Aug 15 at 7:45 | answer | added | Matthias Wendt | timeline score: 1 | |
| Aug 14 at 11:22 | comment | added | cellular | @MatthiasWendt any help even in tangential direction would be appreciated | |
| Aug 14 at 6:29 | comment | added | Matthias Wendt | Yes, but then there are two different settings - one without fixed duality where K-theory is universal localizing, and one with fixed duality where Grothendieck-Witt is localizing. (And possibly the localization behaviour for GW is more complicated, changing dualities etc) Asking that "K-theory vanishes" implies "Witt-theory vanishes" seems to be moving between the different settings. | |
| S Aug 13 at 13:00 | history | bounty ended | CommunityBot | ||
| S Aug 13 at 13:00 | history | notice removed | CommunityBot | ||
| Aug 13 at 12:57 | comment | added | cellular | @MatthiasWendt it seems that for dg-categories with duality, grothendieck Witt spectrum should be the universal localizing functor and there is a map from grothendieck Witt to Witt with fiber given by k-theory (C_2 orbits more precisely). In that context Witt should be localizing functor. It needs a confirmation. | |
| Aug 13 at 6:17 | comment | added | Matthias Wendt | Are you sure Witt theory is a localizing invariant? I thought localizing invariants satisfy some kind of projective bundle formula, fundamental theorem or something. As in Saunier's paper arXiv:2209.05818. So localizing invariants would behave more like cohomology theories "with Chern classes", and the factorization through K-theory is related to the Chern character. It seems to me Witt theory would be outside that scope. | |
| Aug 12 at 18:16 | history | edited | cellular | CC BY-SA 4.0 |
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| Aug 12 at 18:06 | history | edited | cellular | CC BY-SA 4.0 |
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| S Aug 5 at 11:12 | history | bounty started | cellular | ||
| S Aug 5 at 11:12 | history | notice added | cellular | Authoritative reference needed | |
| Jul 29 at 16:51 | history | edited | cellular | CC BY-SA 4.0 |
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| S Jul 28 at 22:07 | history | bounty ended | CommunityBot | ||
| S Jul 28 at 22:07 | history | notice removed | CommunityBot | ||
| S Jul 20 at 20:26 | history | bounty started | cellular | ||
| S Jul 20 at 20:26 | history | notice added | cellular | Authoritative reference needed | |
| Jul 10 at 14:03 | history | edited | LSpice | CC BY-SA 4.0 |
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| Jul 10 at 11:37 | history | asked | cellular | CC BY-SA 4.0 |