discipline

Mathematics

subject

Differential topology 2

lecturers

András Szűcs

credits

2

period

second semester

curriculum

Universal vector bundle, K theory,

G bundles, universal G-bundle,

Hopf theorem: [X, K(p,n)] = Hn(X;p)

Obstruction theory,

Immersion theory,

Hirsch theorem (Using the compression theorem)

Whitney – Graustein theorem (Whitney’s proof, Thurston’s proof)

Immersions of surfaces in R3.

Embedding of Mn in R2n.

The role of the Whitney trick in topology,

h-cobordism theorem, proof and applications,

Generalized Poincare conjecture and its corollaries

Smale theorem, Gromov theorem.

literature

 

form of tuition

Lectures

mode of assessment

oral exam