The Diagrammatic Soergel Category and sl(N)-Foams, for N≥4
For each N≥4, we define a monoidal functor from Elias and Khovanov's diagrammatic version of Soergel's category of bimodules to the category of sl(N) foams defined by Mackaay, Stošić, and Vaz. We show that through these functors Soergel's category can be obtained from the sl(N) foams....
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2010/468968 |
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| _version_ | 1832556693287862272 |
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| author | Marco Mackaay Pedro Vaz |
| author_facet | Marco Mackaay Pedro Vaz |
| author_sort | Marco Mackaay |
| collection | DOAJ |
| description | For each N≥4, we define a monoidal functor from Elias and Khovanov's diagrammatic
version of Soergel's category of bimodules to the category of sl(N) foams defined by Mackaay, Stošić, and Vaz. We show that through these functors Soergel's category can be obtained
from the sl(N) foams. |
| format | Article |
| id | doaj-art-996e91ca75584de9a9e0e438669476ca |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-996e91ca75584de9a9e0e438669476ca2025-02-03T05:44:39ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252010-01-01201010.1155/2010/468968468968The Diagrammatic Soergel Category and sl(N)-Foams, for N≥4Marco Mackaay0Pedro Vaz1Departamento de Matemática, Universidade do Algarve, Campus de Gambelas, 8005-139 Faro, PortugalCAMGSD, Instituto Superior Técnico, Avenida Rovisco Pais, 1049-001 Lisboa, PortugalFor each N≥4, we define a monoidal functor from Elias and Khovanov's diagrammatic version of Soergel's category of bimodules to the category of sl(N) foams defined by Mackaay, Stošić, and Vaz. We show that through these functors Soergel's category can be obtained from the sl(N) foams.http://dx.doi.org/10.1155/2010/468968 |
| spellingShingle | Marco Mackaay Pedro Vaz The Diagrammatic Soergel Category and sl(N)-Foams, for N≥4 International Journal of Mathematics and Mathematical Sciences |
| title | The Diagrammatic Soergel Category and sl(N)-Foams, for N≥4 |
| title_full | The Diagrammatic Soergel Category and sl(N)-Foams, for N≥4 |
| title_fullStr | The Diagrammatic Soergel Category and sl(N)-Foams, for N≥4 |
| title_full_unstemmed | The Diagrammatic Soergel Category and sl(N)-Foams, for N≥4 |
| title_short | The Diagrammatic Soergel Category and sl(N)-Foams, for N≥4 |
| title_sort | diagrammatic soergel category and sl n foams for n≥4 |
| url | http://dx.doi.org/10.1155/2010/468968 |
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