| dc.rights.license | CC-BY-NC-ND | |
| dc.contributor.advisor | Pino Gomez, A. del | |
| dc.contributor.author | Vugts, Pjotr | |
| dc.date.accessioned | 2025-08-12T15:00:52Z | |
| dc.date.available | 2025-08-12T15:00:52Z | |
| dc.date.issued | 2025 | |
| dc.identifier.uri | https://studenttheses.uu.nl/handle/20.500.12932/49696 | |
| dc.description.abstract | We introduce knot theory in a way suitable for third year Bachelor students. We then introduce the Jones polynomial, an invariant of knots. We `categorize' this Jones polynomial into a chain complex of cobordisms, and then by applying a functor into a chain complex of abelian groups. We can take the homology of this chain complex of groups to get the Khovanov homology. | |
| dc.description.sponsorship | Utrecht University | |
| dc.language.iso | EN | |
| dc.subject | This thesis gives an introduction to knot theory, mainly focused on two invariants. These are the Jones polynomial and its categorification, the Khovanov homology. | |
| dc.title | Knot theory, the Jones polynomial and Khovanov homology | |
| dc.type.content | Bachelor Thesis | |
| dc.rights.accessrights | Open Access | |
| dc.subject.keywords | topology; knot theory; homology; Khovanov; Jones; cobordisms | |
| dc.subject.courseuu | Wiskunde | |
| dc.thesis.id | 51249 | |
