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These are the notes of a two-hour one-semester course on CAT(0) cube complexes which I taught in Muenster during winter term 2012/2013.
Topics covered are for example: Basic CAT(0) geometry, Gromov's link condition, half-space systems and Sageev's cubulation method, cubulating Coxeter groups and the Tits alternative.
Since most of the students neither had a strong background in metric geometry nor in group theory I tried to keep the material as elementary and selfcontained as possible.
Course Notes and Supplementary Material (PDF format)
|Course notes||v1 PDF (1.3M)||10/18/19|