(in Polish) Teoria węzłów 1000-1M09TEW

The course is intended to cover the main topics of combinatorial knot theory. We will analyze various knot invariants, starting from presentations of knots as plane diagrams. I plan to cover briefly such classical topics as Reidemeister theorem (which determines when two diagrams represent the same knot) and Alexander and Markov braid theorems about presentations of knots in the form of closed braids. Then we will go on to discuss knot invariants, in particular:
1. Jones' polynomial
2. Homfly polynomial
3. Vassilev invariants
4. Khovanov cohomologies (briefly)
5. Gordian (unknotting) number (as an illustration and an intriguing example).