 |
|
||||||||||
Differential Geometry II
| Professor |
Prof. D.Salamon |
Time and room |
Tu 08-10 HG G3
Th 10-12 HG G3 |
|
Coordinator |
Tatjana Simcevic |
||
|
Surnames |
|||
|
Assistants |
Robert Haslhofer | P- W |
Fr 10-11 HG G26.1 |
| Michael Khanevsky |
A-N |
Fr 11-12 HG G 26.1 | |
Start of the lessons: Tuesday 22. 02. 2011.
Start of the exercises: Friday 3.03.2011.
Testat conditions: 60% of the exercises.
Lecture notes (in progress)
Exercises: The details about the exercises are here.
Syllabus
Continuation of differential geometry I.
Sard's theorem, degree theory, intersection theory, Poincare-Hopf theorem, Hopf degree theorem.
Differential forms, integration, Stokes' theorem, de Rham cohomology, Gauss-Bonnet theorem.
Lie groups, vector bundles, principal bundles, connections and curvature, Chern-Weil theory, characteristic classes.
Literature
- J. Milnor, Topology from the Differential Viewpoint
- Guillemin-Pollack, Differential Topology.
- Bott-Tu, Differential forms in algebraic topology
- J. Milnor & J. Stasheff, Characteristic Classes.
Wichtiger Hinweis:
Diese Website wird in älteren Versionen von Netscape ohne
graphische Elemente dargestellt. Die Funktionalität der
Website ist aber trotzdem gewährleistet. Wenn Sie diese
Website regelmässig benutzen, empfehlen wir Ihnen, auf
Ihrem Computer einen aktuellen Browser zu installieren. Weitere
Informationen finden Sie auf
folgender
Seite.
Important Note:
The content in this site is accessible to any browser or
Internet device, however, some graphics will display correctly
only in the newer versions of Netscape. To get the most out of
our site we suggest you upgrade to a newer browser.
More
information
