Work

Lagrangian approximation of totally real concordances

Year: 2025

Type: article

Abstract: We show that a two‐dimensional totally real concordance can be approximated by a Lagrangian concordance whose Legendrian boundary has been stabilised both positively and negatively sufficiently many times. The main applications that we provide are constructions of knotted Lagrangian concordances in arbitrary four‐dimensional symplectisations, as well as of knotted Lagrangian tori in symplectisations of overtwisted contact three‐manifolds.

Source: Proceedings of the London Mathematical Society

DOI: 10.1112/plms.70042

Author: Georgios Dimitroglou Rizell

Institution: Uppsala University

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $4,700

Funders: Knut och Alice Wallenbergs Stiftelse, Vetenskapsrådet, Uppsala Universitet