A new generalization of the Khovanov homology
| dc.contributor.author | Lee, Ik Jae | |
| dc.date.accessioned | 2012-08-10T13:12:41Z | |
| dc.date.available | 2012-08-10T13:12:41Z | |
| dc.date.graduationmonth | August | |
| dc.date.issued | 2012-08-10 | |
| dc.date.published | 2012 | |
| dc.description.abstract | In this paper we give a new generalization of the Khovanov homology. The construction begins with a Frobenius-algebra-like object in a category of graded vector-spaces with an anyonic braiding, with most of the relations weaken to hold only up to phase. The construction of Khovanov can be adapted to give a new link homology theory from such data. Both Khovanov's original theory and the odd Khovanov homology of Oszvath, Rassmusen and Szabo arise from special cases of the construction in which the braiding is a symmetry. | |
| dc.description.advisor | David Yetter | |
| dc.description.degree | Doctor of Philosophy | |
| dc.description.department | Department of Mathematics | |
| dc.description.level | Doctoral | |
| dc.identifier.uri | http://hdl.handle.net/2097/14170 | |
| dc.language.iso | en_US | |
| dc.publisher | Kansas State University | |
| dc.rights | © the author. This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s). | |
| dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | |
| dc.subject | Knot Theory | |
| dc.subject | Topology | |
| dc.subject.umi | Mathematics (0405) | |
| dc.title | A new generalization of the Khovanov homology | |
| dc.type | Dissertation |
