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This Research Note introduces a new Morse (index) theory that is easier to use, less technical, and more flexible than existing theories. Until now, these results have appeared only in scattered journals. The author provides a self-contained treatment with full proofs of the major results and complete with applications of the theory to Hamiltonian systems and other areas of current research, including wave equations, Chern-Simon functionals, and Lorentzian geometry .
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