期刊
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY
卷 34, 期 2, 页码 167-183出版社
SPRINGER
DOI: 10.1007/s10455-008-9106-z
关键词
Conley-Zehnder index
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- FAPESP
Using invariance by fixed-endpoints homotopies and a generalized notion of symplectic Cayley transform, we prove a product formula for the Conley-Zehnder index of continuous paths with arbitrary endpoints in the symplectic group. We discuss two applications of the formula, to the metaplectic group and to periodic solutions of Hamiltonian systems.
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