Příčné uzly
| Název práce v češtině: | Příčné uzly |
|---|---|
| Název v anglickém jazyce: | Transverse knots |
| Klíčová slova: | Contact vector space, transverse knot, transverse Reidemeister moves, classical invariants of transverse knots |
| Klíčová slova anglicky: | Contact vector space, transverse knot, transverse Reidemeister moves, classical invariants of transverse 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 transverse knot (3) Transverse isotopies and transverse Reidemeister moves (4) Classical invariants of transverse 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 transversal 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 transversal 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. |