| preface notations and conventions 1 morse functions 1.1 the local structure of morse functions 1.2 existence of morse functions 2 the topology of morse functions 2.1 surgery, handle attachment, and cobordisms. 2.2 the topology of sublevel sets 2.3 morse inequalities 2.4 morse-smale dynamics 2.5 morse-floer homology 2.6 morse-bott functions 2.7 min-max theory 3 applications 3.1 the cohomology of complex grassmannians |
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