A topological theory of Maslov indices for Lagrangian and symplectic paths

2007/03/24 by Maurice A. de Gosson, de Gosson, M., Serge de Gosson +1
Mathematics · #Advanced Algebra and Geometry #Advanced Operator Algebra Research #FOS: Mathematics #Geometric and Algebraic Topology #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.math/0703724

openalex publication_date 2007/03/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We propose a topological theory of the Maslov index for lagrangian and symplectic paths based on a minimal system of axioms. We recover, as particular cases, the Hoermander and the Robbin-Salomon indices.

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