Lagrangian Realizations of Ribbon Cobordisms
John B. Etnyre, Caitlin Leverson
TL;DR
This paper demonstrates that, up to stabilization, smooth ribbon cobordisms can be represented by decomposable Lagrangian cobordisms, introducing a stabilization concept to find new Lagrangian cobordisms between Legendrian links.
Contribution
It introduces the notion of stabilization for Lagrangian cobordisms and shows how it can be used to realize smooth ribbon cobordisms as Lagrangian ones.
Findings
Ribbon cobordisms can be realized by decomposable Lagrangian cobordisms after stabilization.
Stabilization enables the construction of new Lagrangian cobordisms between Legendrian links.
The paper defines and utilizes stabilization in the context of Lagrangian cobordisms.
Abstract
We show that up to stabilizations, smooth ribbon cobordisms can be realized by decomposable Lagrangian cobordisms. We also define the notion of stabilization for Lagrangian cobordisms and show that it can be used to find new Lagrangian cobordisms between Legendrian links.
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Taxonomy
Topicsbiodegradable polymer synthesis and properties · Silicone and Siloxane Chemistry · Advanced Materials and Mechanics