dc.contributor.author | Trigo Neri Tabuada, Goncalo Jo | |
dc.date.accessioned | 2013-09-24T18:41:32Z | |
dc.date.available | 2013-09-24T18:41:32Z | |
dc.date.issued | 2012-11 | |
dc.identifier.issn | 15320073 | |
dc.identifier.issn | 15320081 | |
dc.identifier.uri | http://hdl.handle.net/1721.1/80912 | |
dc.description.abstract | In this article we endow Kontsevich's triangulated category KMM[subscript k] of noncommutative mixed motives with a non-degenerate weight structure in the sense of Bondarko. As an application we obtain: (1) a convergent weight spectral sequence for every additive invariant (e.g., algebraic K-theory, cyclic homology, topological Hochschild homology, etc.); (2) a ring isomorphism between K[subscript 0](KMM[subscript k] and the Grothendieck ring of the category of noncommutative Chow motives; (3) a precise relationship between Voevodsky's (virtual) mixed motives and Kontsevich's noncommutative (virtual) mixed motives. | en_US |
dc.description.sponsorship | NEC Corporation Fund for Research in Computers and Communications (Award-2742738) | en_US |
dc.language.iso | en_US | |
dc.publisher | International Press of Boston, Inc. | en_US |
dc.relation.isversionof | http://dx.doi.org/10.4310/HHA.2012.v14.n2.a8 | en_US |
dc.rights | Creative Commons Attribution-Noncommercial-Share Alike 3.0 | en_US |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/3.0/ | en_US |
dc.source | arXiv | en_US |
dc.title | Weight structure on Kontsevich's noncommutative mixed motives | en_US |
dc.type | Article | en_US |
dc.identifier.citation | Tabuada, Goncalo. “Weight structure on Kontsevich s noncommutative mixed motives.” Homology, Homotopy and Applications (2012): 129-142. | en_US |
dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | |
dc.contributor.mitauthor | Trigo Neri Tabuada, Goncalo Jo | en_US |
dc.relation.journal | Homology, Homotopy and Applications | en_US |
dc.eprint.version | Original manuscript | en_US |
dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
eprint.status | http://purl.org/eprint/status/NonPeerReviewed | en_US |
dspace.orderedauthors | Tabuada, Goncalo | en_US |
dc.identifier.orcid | https://orcid.org/0000-0001-5558-9236 | |
mit.license | OPEN_ACCESS_POLICY | en_US |
mit.metadata.status | Complete | |