Mei-Yue Jiang
Abstract
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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.
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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.
Key concepts: Morse code, Morse theory, Circle-valued Morse theory, Mathematics, Degenerate energy levels, Morse homology, Homology (biology), Pure mathematics