A Maslov-Type Index in Dimension 2

Qiyu Zhong () and Hai-Long Her
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Qiyu Zhong: Department of Mathematics, Jinan University, Guangzhou 510632, China
Hai-Long Her: Department of Mathematics, Jinan University, Guangzhou 510632, China

Mathematics, 2024, vol. 12, issue 14, 1-12

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.

Keywords: Maslov index; symplectic path; Lagrangian path (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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