Year: 2024
Type: article
Abstract: Lagrangian cobordism induces a preorder on the set of Legendrian links in any contact 3-manifold.We show that any finite collection of null-homologous Legendrian links in a contact 3-manifold with a common rotation number has an upper bound with respect to the preorder.In particular, we construct an exact Lagrangian cobordism from each element of the collection to a common Legendrian link.This construction allows us to define a notion of minimal Lagrangian genus between any two null-homologous Legendrian links with a common rotation number. 57K33; 53D12, 57K10 A description of Lagrangian cobordismsIn this section, we describe Lagrangian cobordisms, how to construct them, and how to keep track of those constructions. Lagrangian cobordismsWe begin with the formal definition of a Lagrangian cobordism between Legendrian links.
Source: Algebraic & Geometric Topology
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4405637079