In this thesis, we study modern invariants of Legendrian knots on R3 with a standard contact structure. We introduce the notion of Chekanov-Eliashberg algebra (DGA) and Legendrian contact homology. Then we consider representa- tions of DGA as a way how to derive some computable invariants of Legendrian knots. Finally, we will find equivalence classes of graded 2-dimensional irreducible representations for a certain Legendrian knot. i
| Identifer | oai:union.ndltd.org:nusl.cz/oai:invenio.nusl.cz:416067 |
| Date | January 2020 |
| Creators | Poppr, Marián |
| Contributors | Golovko, Roman, Le, Hong Van |
| Source Sets | Czech ETDs |
| Language | English |
| Detected Language | English |
| Type | info:eu-repo/semantics/masterThesis |
| Rights | info:eu-repo/semantics/restrictedAccess |
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