A Maslov-Type Index in Dimension 2

被引：1
作者：
Zhong, Qiyu [1 ]
Her, Hai-Long [1 ]
机构：
[1] Jinan Univ, Dept Math, Guangzhou 510632, Peoples R China
来源：
MATHEMATICS | 2024年 / 12卷 / 14期
关键词：
Maslov index; symplectic path; Lagrangian path; FIXED-POINT THEOREM; CLOSED CHARACTERISTICS; CONVEX HYPERSURFACES; PERIODIC-SOLUTIONS; CONJECTURE; FLOW;
D O I：
10.3390/math12142281
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we define an index of the Maslov type for paths of 2x2 orthogonal symplectic matrices. The starting point is an arbitrary 2x2 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.
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页数：12
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