Singularities of Lagrangian Immersions and its Applications in Lagrangian Floer Theory

Autor:	Zhang, Zuyi
Rok vydání:	2023
Předmět:	Mathematics - Geometric Topology Mathematics - Symplectic Geometry
Druh dokumentu:	Working Paper
Popis:	In this article, we study the singularities of Lagrangian immersions into Cartesian product of surfaces. After applying a Hamiltonian isotopy in the Weinstein tubular neighbourhood of the Lagrangian immersion, the singular points of the Lagrangian immersion can be expressed locally as fold points with finitely many cusp points. This result has applications in comparing two Lagrangian Floer complexes associated to curves on surfaces related by a certain Lagrangian correspondence and the quilt Floer complex induced by these three Lagrangian immersions. Comment: 57 pages, 8 figures, the contact information is added
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2303.05096 Zobrazit plný text záznamu View this record from Arxiv