Legendrovské uzly
| Název práce v češtině: | Legendrovské uzly |
|---|---|
| Název v anglickém jazyce: | Legendrian knots |
| Klíčová slova: | Contact vector space, Legendrian knot, Legendrian isotopies and Legendrian Reidemeister moves, classical invariants of Legendrian knots |
| Klíčová slova anglicky: | Contact vector space, Legendrian knot, Legendrian isotopies and Legendrian Reidemeister moves, classical invariants of Legendrian knots |
| Akademický rok vypsání: | 2023/2024 |
| Typ práce: | bakalářská práce |
| Jazyk práce: | |
| Ústav: | Matematický ústav UK (32-MUUK) |
| Vedoucí / školitel: | doc. Roman Golovko, Ph.D. |
| Řešitel: |
| Zásady pro vypracování |
| (1) The notion of contact vector space
(2) The notion of Legendrian knot (3) Legendrian isotopies and Legendrian Reidemeister moves (4) Legendrian approximation (5) Classical invariants of Legendrian knots |
| Seznam odborné literatury |
| J. B. Etnyre, Legendrian and transversal knots, Handbook of knot theory, Elsevier B. V., Amsterdam, 2005, pp. 105–185.
H. Geiges, An introduction to contact topology; Volume 109 of Cambridge studies in advanced mathematics. Cambridge University Press. 2008 |
| Předběžná náplň práce |
| Contact structures on manifolds and Legendrian knots in them are very natural objects, born over two centuries ago, in the work of Huygens,Hamilton and Jacobi on geometric optics and work of Lie on partial differential equations. They touch on diverse areas of mathematics and physics, and have deep connections with topology and dynamics in low dimensions |
| Předběžná náplň práce v anglickém jazyce |
| Contact structures on manifolds and Legendrian knots in them are very natural objects, born over two centuries ago, in the work of Huygens,Hamilton and Jacobi on geometric optics and work of Lie on partial differential equations. They touch on diverse areas of mathematics and physics, and have deep connections with topology and dynamics in low dimensions |