【摘 要】
：
Based on the spectral flow and the stratification structures of the symplectic group Sp(2n, C),the Maslov-type index theory and its generalization, the w-index
【机 构】
：
Nankai Institute of Mathematics
【基金项目】
：
国家自然科学基金;MCSEC of China;the Qiu Shi Science and Technology Foundation
论文部分内容阅读
Based on the spectral flow 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 w 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.
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