Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

• Forgot your password?
• Apply for membership

1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeFeb 9th 2014
   • PermaLink
   Author: Urs
   Format: MarkdownItexcretaed a brief entry _[[K-motive]]_ in order to record a cool statement somewhat hidden in an article by Tabuada froma year back. Thanks a lot for Adeel Khan Yusufzai for pointing this out!

   cretaed a brief entry K-motive in order to record a cool statement somewhat hidden in an article by Tabuada froma year back. Thanks a lot for Adeel Khan Yusufzai for pointing this out!

2. • CommentRowNumber2.
   • CommentAuthorzskoda
   • CommentTimeFeb 10th 2014
   • (edited Feb 10th 2014)
   • PermaLink
   Author: zskoda
   Format: MarkdownItex* Grigory Garkusha, Ivan Panin, _K-motives of algebraic varieties_, [arxiv/1108.0375](http://arxiv.org/abs/1108.0375); _The triangulated category of K-motives $DK(k)$_, [arxiv/1302.2163](http://arxiv.org/abs/1302.2163)

   • Grigory Garkusha, Ivan Panin, K-motives of algebraic varieties, arxiv/1108.0375; The triangulated category of K-motives $DK(k)$, arxiv/1302.2163
3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeFeb 10th 2014
   • PermaLink
   Author: Urs
   Format: MarkdownItexThanks! After creating the entry I had been wondering if there should be added citations to Grigory Garkusha. But then I was being lazy and just added a "Related entries" pointer to [[bivariant algebraic K-theory]]. So thanks again for adding the links.

   Thanks!

   After creating the entry I had been wondering if there should be added citations to Grigory Garkusha. But then I was being lazy and just added a “Related entries” pointer to bivariant algebraic K-theory.

   So thanks again for adding the links.

4. • CommentRowNumber4.
   • CommentAuthoradeelkh
   • CommentTimeFeb 10th 2014
   • PermaLink
   Author: adeelkh
   Format: MarkdownItexInteresting! I guess this DK should embed fully faithfully into the category of noncommutative mixed motives.

   Interesting! I guess this DK should embed fully faithfully into the category of noncommutative mixed motives.

5. • CommentRowNumber5.
   • CommentAuthoradeelkh
   • CommentTimeFeb 11th 2014
   • (edited Feb 11th 2014)
   • PermaLink
   Author: adeelkh
   Format: MarkdownItexI've just seen a new article by [Tabuada](http://www.mathematik.uni-bielefeld.de/lag/man/527.html) where he establishes the mixed analogue of the fully faithful embedding ChMot(Q)/Q(1) -> NChMot. I would guess that his functor DM(Q)/Q(1)[2] -> NMMot (noncommutative mixed motives) should factor as an equivalence with DK (Garkusha-Panin) followed by a fully faithful embedding into NMMot (noncommutative mixed motives). Though I haven't actually seen their definition of DK yet.

   I’ve just seen a new article by Tabuada where he establishes the mixed analogue of the fully faithful embedding ChMot(Q)/Q(1) -> NChMot. I would guess that his functor DM(Q)/Q(1)[2] -> NMMot (noncommutative mixed motives) should factor as an equivalence with DK (Garkusha-Panin) followed by a fully faithful embedding into NMMot (noncommutative mixed motives). Though I haven’t actually seen their definition of DK yet.