A note on the relations between the various index theories

作者：Liu, Chungen^*

来源：Journal of Fixed Point Theory and Applications, 2017, 19(1): 617-648.

DOI：10.1007/s11784-016-0368-y

• L-index
• P-index
• Lagrangian path
• symplectic path
• Hormander index

In this note, the relations between various index theories are established. For example, the relationship between the Maslov type index for symplectic paths, the P-index for symplectic paths, L-index for symplectic paths, and the index theory for paths of Lagrangian subspaces is considered. To study the difference between two index theories, we introduce the Hormander index theory for four lagrangian subspaces and show that all the differences between two indices are exactly the Hormander index for suitable four Lagrangian subspaces.

• 出版日期2017-3
• 单位南开大学