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• W2013473904 abstract "The notion of a Morse index of a function on a finite-dimensional manifold cannot be generalized directly to the symplectic action function a on the loop space of a manifold. In this paper, we define for any pair of critical points of a a relative Morse index, which corresponds to the difference of the two Morse indices in finite dimensions. It is based on the spectral flow of the Hessian of a and can be identified with a topological invariant recently defined by Viterbo, and with the dimension of the space of trajectories between the two critical points." @default.
• W2013473904 created "2016-06-24" @default.
• W2013473904 creator A5005584716 @default.
• W2013473904 date "1988-06-01" @default.
• W2013473904 modified "2023-10-03" @default.
• W2013473904 title "A relative morse index for the symplectic action" @default.
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• W2013473904 doi "https://doi.org/10.1002/cpa.3160410402" @default.
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