摘要
Based on the spectral now and the stratification structures of the symplectic group Sp(2n, c) , the Maslov-type index theory and its generalization, the w-index theory parameterized by all ω on the unit circle, for arbitrary paths in Sp(2n, C) are established. Then the Bott-type iteration formula of the Maslov-type indices for iterated paths in Sp(2n, C) is proved, and the mean index for any path in Sp(2n, C) is defined. Also, the relation among various Maslov-type index theories is studied.
基金
National Natural Science Foundation of China
MCSEC of China
Qiu Shi Science and Technology Foundation.
