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401-3572-00L 11 Credits BSC , MSC D-MATH

Differential Topology

Differentialtopologie

Lecturers & Examiners: Prof. Dr. Sebastian Baader
VVZ CR n/a

Last Updated: 2026-02-05 15:18:44

Abstract

Critical and regular points of differential mappings, Sard's theorem; differential forms, Moser's theorem on volume forms, degree of a mapping; de Rham cohomology and singular cohomology; applications in low-dimensional topology, especially in knot theory.

Resources

Literature

M. W. Hirsch: Differential topology J. W. Milnor: Topology from the differentiable viewpoint S. Morita: Geometry of differential forms K. Murasugi: Knot theory and its applications

General Information

Language
German
Levels
BSC , MSC

Examination

Type
session examination
Mode
oral 30 minutes

Course Components

Type Title Time & Place Hours
lecture Differentialtopologie
  • Mon 10:15-12:00 (HG E 1.2)
  • Thu 08:15-10:00 (HG E 1.2)
4 h weekly
exercise Differentialtopologie
  • Mon 08:15-10:00 (HG E 1.2)
  • Mon 08:15-10:00 (HG E 22)
2 h weekly

Offered In