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Algebraic Topology II (Wintersemester 2016/17)

Lecture course with exercise session. The weekly homework is due on Wednesdays and can be handed in after the lecture.
The homework sets will be published on the ILIAS course webpage.

Vorlesung: Montag 11:30-13:00 SR 3.068 Beginn: 17.10.2016
Mittwoch 11:30-13:00 SR 3.061
Übung: Donnerstag 14:00-15:30 SR 3.069 Beginn: 20.10.2016
Dozentin Dr. Caterina Campagnolo
nach Vereinbarung
Zimmer 1.033
Kollegiengebäude Mathematik (20.30)
Email: caterina.campagnolo@kit.edu
Übungsleiterin Dr. Sabine Braun
nach Vereinbarung
Zimmer 1.015
Kollegiengebäude Mathematik (20.30)
Email: sabine.braun@kit.edu

This lecture is the natural continuation of Algebraic Topology I and will build on the notions acquired there.

After a last result on CW-complexes we will introduce Euler characteristic and homological algebra. Next will come cohomology and the various product structures that it carries, followed by chapters on vector bundles and manifolds. At the end of the lecture we will discuss duality results between homology and cohomology, in particular Poincaré duality.

From the 26th of October and on the lectures start at 11:25 on Mondays in order to have a 5 minutes break, but at 11:30 on Wednesdays without break, for organizational reasons.