Affiliation:
1. Department of Mathematics, Jinan University, Guangzhou 510632, China
Abstract
In this article, we define an index of the Maslov type for paths of 2×2 orthogonal symplectic matrices. The starting point is an arbitrary 2×2 orthogonal symplectic matrix rather than the identity matrix. We use this index to explain the geometric intersection number of a pair of Lagrangian paths and compare it with the Cappell–Lee–Miller index.
Funder
Guangdong Basic and Applied Basic Research Foundation, China
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