Seminar on Differential Topology


The seminar takes place in B 046 on Thursdays 2:30 -- 4:00 PM.

9 May
A. Nkeng
Sard's theorem and the Brouwer fixed point theorem
[M1] Ch. 1+2+3
16 May
T. Ose
Mapping degree mod 2
[M1] Ch. 4
23 May
W. Böhnisch
Oriented manifolds and mapping degree
[M1] Ch. 5
6 June
G. Contri
Vector fields und Euler characteristic
[M1] Ch. 6
27 June
E. Hsiao
Introduction to Morse Theory
[M2] Ch. 1+2 (see also [H] Ch. 6, Section 1)
4 July
A. Brillante
Transversality and existence of Morse functions
[K] Ch. IV, 1-3
11+18 July
Z. Gao
Morse theory and homotopy type
[M2] Ch. 3+4 (see also [H] Ch. 6, Sections 2-4)
23 July
T. Ose
The Morse inequalities
[M2] Ch. 5 (see also [H] Ch. 6, Sections 3-4)



References:
[M1] J. W. Milnor: Topology from the differentiable viewpoint, The University Press of Virginia 1965
[M2] J. W. Milnor: Morse theory, Princeton UP 1969
[GP] V. Guillemin and A. Pollack: Differential Topology, Prentice-Hall 1974
[H] M. W. Hirsch: Differential Topology, Springer Verlag 1976
[K] A. A. Kosinski: Differential Manifolds, Academic Press 1993