Non-loose Legendrian spheres with trivial contact homology DGA

T Ekholm - Journal of Topology, 2016 - academic.oup.com
Loose Legendrian-submanifolds,, were introduced by Murphy ('Loose Legendrian
embeddings in high dimensional contact manifolds', Preprint, 2012, arXiv: 1201.2245) and …

[图书][B] Loose Legendrian embeddings in high dimensional contact manifolds

E Murphy - 2012 - search.proquest.com
We give an h-principle type result for a class of Legendrian embeddings in contact manifolds
of dimension at least 5. These Legendrians, referred to as loose, have trivial pseudo …

Floer homology and Lagrangian concordance

B Chantraine, GD Rizell, P Ghiggini… - arXiv preprint arXiv …, 2015 - arxiv.org
We derive constraints on Lagrangian concordances from Legendrian submanifolds of the
standard contact sphere admitting exact Lagrangian fillings. More precisely, we show that …

Functorial LCH for immersed Lagrangian cobordisms

Y Pan, D Rutherford - arXiv preprint arXiv:1905.08730, 2019 - arxiv.org
For $1 $-dimensional Legendrian submanifolds of $1 $-jet spaces, we extend the
functorality of the Legendrian contact homology DG-algebra (DGA) from embedded exact …

[PDF][PDF] Legendrian contact homology in

JB Etnyre, LL Ng - Surveys in differential geometry, 2020 - par.nsf.gov
Legendrian contact homology in R3 Page 1 Surveys in Differential Geometry XXV
Legendrian contact homology in R3 John B. Etnyre and Lenhard L. Ng Abstract. This is an …

Chekanov-Eliashberg dg-algebras for singular Legendrians

J Asplund, T Ekholm - arXiv preprint arXiv:2102.04858, 2021 - arxiv.org
The Chekanov-Eliashberg dg-algebra is a holomorphic curve invariant associated to
Legendrian submanifolds of a contact manifold. We extend the definition to Legendrian …

[PDF][PDF] Legendrian contact homology in

JB Etnyre, LL Ng - arXiv preprint arXiv:1811.10966, 2018 - arxiv.org
arXiv:1811.10966v5 [math.SG] 20 Apr 2023 Page 1 LEGENDRIAN CONTACT HOMOLOGY IN
R3 JOHN B. ETNYRE AND LENHARD L. NG Abstract. This is an introduction to Legendrian …

Constructions and Isotopies of High-Dimensional Legendrian Spheres

A Roy - arXiv preprint arXiv:2211.00773, 2022 - arxiv.org
We explore the construction of Legendrian spheres in contact manifolds of any dimension.
Two constructions involving open books work in any contact manifold, while one introduced …

Legendrian products

P Lambert-Cole - arXiv preprint arXiv:1301.3700, 2013 - arxiv.org
This paper introduces two constructions of Legendrian submanifolds, called the Legendrian
product and spinning, and computes their classical invariants, the Thurston-Bennequin …

[图书][B] Invariants of Legendrian products

P Lambert-Cole - 2014 - search.proquest.com
This thesis investigates a construction in contact topology of Legendrian submanifolds
called the Legendrian product. We investigate and compute invariants for these Legendrian …