Morse homology and degenerate Morse inequalities

Mei-Yue Jiang

DOI: http://dx.doi.org/10.12775/TMNA.1999.007

Abstract


Based on Morse homology of Morse functions, we give a new proof
of the Morse-Bott inequalities for functions with non-degenerate critical manifolds.
A proof of the Morse inequalities for functions with isolated critical points as
developed by Gromoll-Meyer is also presented with the same method.

Keywords


Morse-Bott inequalities; Gromoll-Meyer theory

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