- Enseignant-e: Grigory Mikhalkin
- Enseignant-e: Mikhail Pirogov
(cours en anglais)
Introduction to knot theory and links of singularities.
Contenu
Fundamental group of knots, Seifert surfaces, Alexander polynomial. Dehn's Lemma. Links of
singularities of polynomials in two complex variables as objects of knot theory. Milnor fibration and
Milnor number.
Références
[1] Rolfsen, Dale Knots and links. Corrected reprint of the 1976 original. Mathematics Lecture Series, 7.
Publish or Perish, Inc., Houston, TX, 1990.
[2] Milnor, John Singular points of complex hypersurfaces. Annals of Mathematics Studies, No. 61
Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo 1968
Nombre de crédits ECTS : 6
Pré-requis : analyse II complexe, algèbre II, topologie générale