Geometrical Methods in Theoretical Physics

The course provides an introduction to geometrical and topological tools used in modern theoretical physics. The prerequisite for taking the course is basic knowledge in differential geometry and group theory. This course is intended for advanced MSc students and PhD-students. For the Master students the course code is 1FA153.

Autumn 2015

The course plan can be found here and the schedule can be consulted in the following link.

The following homeworks should be handed in by 5 pm on the 15th of January 2016:

Old Homeworks

Useful Notes and Links

  • A. Hatcher, Algebraic Topology, Cambridge University Press, 2002. on-line version
  • P. B. Gilkey, Invariance Theory, the Heat Equation, and the Atiyah-Singer Index Theorem, on-line version
  • T. Eguchi, P. B. Gilkey and A. J. Hanson,
    “Gravitation, Gauge Theories And Differential Geometry”, Phys. Rept. 66 (1980) 213 (it can be downloaded only within the University), on-line version from Science Direct
  • The lecture notes on “Geometry of Vector Bundles and an Introduction to Gauge Theory”
  • The lecture notes by David A. Cox on the algebraic and toric geometry his homepage
  • The lectures by Matthias Blau on the application of Mathai-Quillen formalism with the discussion of supersymmetric quantum mechanics the link
Last modified: 2021-01-18