SUBJECT
Title
Supplementary chapters of topology II – Low dimensional manifolds
Type of instruction
lecture
Level
master
Faculty
Part of degree program
Credits
3
Recommended in
Semesters 1-4
Typically offered in
Autumn/Spring semester
Course description
A short description of the course:
- handle-body decomposition of manifolds
- knots in 3-manfolds, their Alexander polynomials
- Jones polynomial, applications
- surfaces and mapping class groups
- 3-manifolds, examples
- Heegard decomposition and Heegard diagram
- 4-manifolds, Freedman and Donaldson theorems (formulations)
- Lefschetz fibrations
- invariants (Seiberg-Witten and Heegard Floer invariants),
- applications
Readings
- J. Milnor: Morse theory
- R.E. Gompf, A. I. Stipsicz: 4-manifolds and Kirby calculus, Graduate Studies in Mathematics, Volume 20, Amer. Math. Soc. Providence, Rhode Island.