Year: 2026
Type: preprint
Abstract: We establish the use of Lagrangian diagram moves to build Lagrangian cobordisms of Legendrian knots. We then apply the moves to explore how to invert decomposable cobordisms, after adding some stabilizations. This is done by use of Reidemeister moves and handle attachments in the Lagrangian projection. As an application, we show an explicit construction of a Lagrangian concordance from a stabilized $m(9_{46})$ Legendrian knot to a stabilized unknot, i.e. a non-decomposable Lagrangian concordance of nonempty knots.
Source: arXiv (Cornell University)
Author: Guadagni, Roberta
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7214804933