Augmentation varieties and disk potentials II
Symplectic Geometry
2026-01-27 v3
Abstract
This is the second in a sequence of papers in which we construct Chekanov-Eliashberg algebras for Legendrians in circle-fibered contact manifolds and study the associated augmentation varieties. In this part, we first define the Chekanov-Eliashberg algebra and its Legendrian contact homology. For a tame Lagrangian cobordism between Legendrians, we define a chain map between their Chekanov-Eliashberg algebras.
Keywords
Cite
@article{arxiv.2401.13021,
title = {Augmentation varieties and disk potentials II},
author = {Kenneth Blakey and Soham Chanda and Yuhan Sun and Chris T. Woodward},
journal= {arXiv preprint arXiv:2401.13021},
year = {2026}
}
Comments
59 pages; The original manuscript arXiv:2310.17821v1 was split into three parts: this being part II