The foam and the matrix factorization sl(3) link homologies are equivalent
| Autor(a) principal: | |
|---|---|
| Data de Publicação: | 2008 |
| Outros Autores: | |
| Tipo de documento: | Artigo |
| Idioma: | eng |
| Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
| Texto Completo: | http://hdl.handle.net/10400.1/12108 |
Resumo: | We prove that the universal rational sl(3) link homologies which were constructed by Khovanov in [3] and the authors in [7], using foams, and by Khovanov and Rozansky in [4], using matrix factorizations, are naturally isomorphic as projective functors from the category of links and link cobordisms to the category of bigraded vector spaces. |
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The foam and the matrix factorization sl(3) link homologies are equivalentWe prove that the universal rational sl(3) link homologies which were constructed by Khovanov in [3] and the authors in [7], using foams, and by Khovanov and Rozansky in [4], using matrix factorizations, are naturally isomorphic as projective functors from the category of links and link cobordisms to the category of bigraded vector spaces.Both authors were supported by the Fundac¸ao para a Ciência e a Tecnologia through ˆ the programme “Programa Operacional Ciencia, Tecnologia, Inovação” (POCTI), cofinanced by the European Community fund FEDER.Geometry & Topology PublicationsSapientiaMackaay, MarcoVaz, Pedro2018-12-07T14:58:35Z20082008-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.1/12108eng1472-273910.2140/agt.2008.8.309info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-07-24T10:24:02Zoai:sapientia.ualg.pt:10400.1/12108Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:03:30.584807Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse |
| dc.title.none.fl_str_mv |
The foam and the matrix factorization sl(3) link homologies are equivalent |
| title |
The foam and the matrix factorization sl(3) link homologies are equivalent |
| spellingShingle |
The foam and the matrix factorization sl(3) link homologies are equivalent Mackaay, Marco |
| title_short |
The foam and the matrix factorization sl(3) link homologies are equivalent |
| title_full |
The foam and the matrix factorization sl(3) link homologies are equivalent |
| title_fullStr |
The foam and the matrix factorization sl(3) link homologies are equivalent |
| title_full_unstemmed |
The foam and the matrix factorization sl(3) link homologies are equivalent |
| title_sort |
The foam and the matrix factorization sl(3) link homologies are equivalent |
| author |
Mackaay, Marco |
| author_facet |
Mackaay, Marco Vaz, Pedro |
| author_role |
author |
| author2 |
Vaz, Pedro |
| author2_role |
author |
| dc.contributor.none.fl_str_mv |
Sapientia |
| dc.contributor.author.fl_str_mv |
Mackaay, Marco Vaz, Pedro |
| description |
We prove that the universal rational sl(3) link homologies which were constructed by Khovanov in [3] and the authors in [7], using foams, and by Khovanov and Rozansky in [4], using matrix factorizations, are naturally isomorphic as projective functors from the category of links and link cobordisms to the category of bigraded vector spaces. |
| publishDate |
2008 |
| dc.date.none.fl_str_mv |
2008 2008-01-01T00:00:00Z 2018-12-07T14:58:35Z |
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info:eu-repo/semantics/publishedVersion |
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info:eu-repo/semantics/article |
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article |
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publishedVersion |
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http://hdl.handle.net/10400.1/12108 |
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http://hdl.handle.net/10400.1/12108 |
| dc.language.iso.fl_str_mv |
eng |
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eng |
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1472-2739 10.2140/agt.2008.8.309 |
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info:eu-repo/semantics/openAccess |
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openAccess |
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application/pdf |
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Geometry & Topology Publications |
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Geometry & Topology Publications |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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