Seminar on the h-cobordism theorem

List of talks

D. Kotschick
Date: 9.11.
Introduction and Morse Lemma
Source: [M1], § 1 und 2

P. Bader
Date: 23.11.
Critical points and homotopy type
Source: [M1], § 3

P. Bader
Date: 30.11.
Reeb's Theorem and the Morse inequalities
Source: [M1], § 4 und 5, und [M3]

D. Kotschick
Date: 7.12.
Whitney embedding theorem and the existence of Morse functions
Source: [M1], § 6 and other sources

S. Langenscheidt
Date: 14.12.
The cobordism category and Morse functions on manifolds with boundary
Source: [M2], § 1 und 2

P. Papadopoulos
Date: 11.1.
Elementary cobordisms
Source: [M2], § 3

M. Niemeyer
Date: 18.1.
Rearranging bordisms
Source: [M2], § 4

E. Sole-Farre
Date: 25.1.
Cancellation of critical points I
Source: [M2], § 5

E. Sole-Farre
Date: 1.2.
Cancellation of critical points II
Source: [M2], § 5

E. Hsiao
Date: 8.2.
Algebraic intersection numbers and the Whitney trick
Source: [M2], § 6

P. Papadopoulos
Date: 15.2
Cancellation of critical points in the middle dimension
Source: [M2], § 7

D. Kotschick
Date: 22.2.
Cancellation of critical points of index 0 and 1 and the h-cobordism theorem
Source: [M2], § 8 und 9



References:

[M1] J.W. Milnor: Morse Theory, Princeton University Press
[M2] J.W. Milnor: Lectures on the h-Cobordism Theorem, Princeton University Press
[M3] J.W. Milnor: Differential Topology, in ``Lectures in Modern Mathematics II'', Wiley, New York