| dc.identifier.uri | http://hdl.handle.net/1951/59604 | |
| dc.identifier.uri | http://hdl.handle.net/11401/71178 | |
| dc.description.sponsorship | This work is sponsored by the Stony Brook University Graduate School in compliance with the requirements for completion of degree. | en_US |
| dc.format | Monograph | |
| dc.format.medium | Electronic Resource | en_US |
| dc.language.iso | en_US | |
| dc.publisher | The Graduate School, Stony Brook University: Stony Brook, NY. | |
| dc.type | Dissertation | |
| dcterms.abstract | Quantum sl2 gives rise to the Jones polynomial knot invariant. One of the insights of categorification is that this 3-dimensional picture is a shadow, the decategorification, of a 4-dimensional picture. Thus, the categorification of quantum sl2 gives rise through its representation theory to Khovanov homology, the categorification of the Jones polynomial. In the 3-dimensional picture, the algebra of Temperley-Lieb diagrams, used in the construction of the Jones polynomial, gives a graphical calculus for intertwiners of the representations of quantum sl2. We show that the algebra of Bar-Natan's dotted cobordisms, used in the construction of Khovanov homology, gives a graphical calculus for intertwiners of representations of categorified quantum sl2. | |
| dcterms.available | 2013-05-22T17:34:18Z | |
| dcterms.available | 2015-04-24T14:46:18Z | |
| dcterms.contributor | Sullivan, Dennis | en_US |
| dcterms.contributor | Kirillov, Alexander, Jr. | en_US |
| dcterms.contributor | Khovanov, Mikhail | en_US |
| dcterms.contributor | Viro, Oleg. | en_US |
| dcterms.creator | Chatav, Eitan | |
| dcterms.dateAccepted | 2013-05-22T17:34:18Z | |
| dcterms.dateAccepted | 2015-04-24T14:46:18Z | |
| dcterms.dateSubmitted | 2013-05-22T17:34:18Z | |
| dcterms.dateSubmitted | 2015-04-24T14:46:18Z | |
| dcterms.description | Department of Mathematics | en_US |
| dcterms.extent | 54 pg. | en_US |
| dcterms.format | Application/PDF | en_US |
| dcterms.format | Monograph | |
| dcterms.identifier | http://hdl.handle.net/1951/59604 | |
| dcterms.identifier | Chatav_grad.sunysb_0771E_11132 | en_US |
| dcterms.identifier | http://hdl.handle.net/11401/71178 | |
| dcterms.issued | 2012-08-01 | |
| dcterms.language | en_US | |
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Previous issue date: 1 | en |
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Previous issue date: 1 | en |
| dcterms.publisher | The Graduate School, Stony Brook University: Stony Brook, NY. | |
| dcterms.subject | Theoretical mathematics | |
| dcterms.subject | Algebra, Categorification, Homology, Quantum, Representation Theory, Topology | |
| dcterms.title | Representation Theory of Categorified Quantum sl2 | |
| dcterms.type | Dissertation | |
