Exercises for a course "Topology", spring 2008 v1.0

Exercises for Knot Theory (Summer 2009)


  1. Equivalence of knots (pdf). 2 March.
  2. Arithmetics of knots, colorings, quandles (pdf). 9 March.
  3. The fundamental group of the complement. 16 March.
  4. The fundamental group of the complement, continuation (pdf). 23 March.
  5. Polynomial invariants of knots and links (pdf). 30 March.
  6. Torus knots, rational knots (pdf). 27 April.
  7. Braids (pdf). 4 May.
  8. Seifert surfaces (pdf). 11 May.
  9. Conway notation, linking number (pdf). 18 May.
  10. Energy functionals of knots, conformal geometry (pdf). 25 May.
  11. Vassiliev invariants (pdf). 8 June.
  12. Kontsevich integral. Dynnikov algorithm for trivial knot recognition (pdf). 15 June.
  13. An open problem discussion. 22 June.



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