"Schnupperkurs" on knot theory
Here you find more information concerning the "Schnupperkurs for interested pupils" on knot theory, which took place in summer 2007. The course was organized by André Kappes and Florian Nisbach.
Announcement of the course
Announcement of the course (in german): announcement (pdf-file)
Problem sheets
Problem sheets for the course (in german):
Problem sheet 1
Problem sheet 2
Problem sheet 3
Problem sheet 4 - Solution to Problem 2, Sheet 4
Material
The Flächensätze.pdf|classification theorems for surfaces from session 4.
The Prime Decomposition Theorem for knots, together with a relatively self-contained proof (in german): primzerlegung.pdf
An introduction to the Jones polynomial (in german): jonespolynom.pdf
Bibliography on knot theory
- Charles Livingston, "Knotentheorie für Einsteiger", Vieweg-Verlag, 1995
- Colin C. Adams, "Das Knotenbuch - Einführung in die mathematische Theorie der Knoten", Spektrum Akademischer Verlag, 1995
Links on knot theory
- Knotinfo - http://www.indiana.edu/~knotinfo/
- Knot Atlas - http://katlas.math.toronto.edu/wiki/
- The Knot Theory Homepage - http://library.thinkquest.org/12295/
- SeifertView - http://www.win.tue.nl/~vanwijk/seifertview/
- Knotilus - http://srankin.math.uwo.ca/
Pictures
Here are a few photographs from one of the first sessions, which Thomas Wilging has taken
