A filtered generalization of the Chekanov-Eliashberg algebra
R Avdek - arXiv preprint arXiv:2205.13031, 2022 - arxiv.org
We define a new algebra associated to a Legendrian submanifold $\Lambda $ of a contact
manifold of the form $\mathbb {R} _ {t}\times W $, called the planar diagram algebra and …
manifold of the form $\mathbb {R} _ {t}\times W $, called the planar diagram algebra and …
Morse Structures on Open Book Decompositions with Punctured Torus Pages
J Brand - 2023 - search.proquest.com
In this thesis, we use Morse structures to study contact 3-manifolds, and Legendrian knots
embedded within. In particular, we focus on contact 3-manifolds whose compatible open …
embedded within. In particular, we focus on contact 3-manifolds whose compatible open …
[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 …
R3 JOHN B. ETNYRE AND LENHARD L. NG Abstract. This is an introduction to Legendrian …
Chekanov-Eliashberg dg-algebras for singular Legendrians
The Chekanov-Eliashberg dg-algebra is a holomorphic curve invariant associated to
Legendrian submanifolds of a contact manifold. We extend the definition to Legendrian …
Legendrian submanifolds of a contact manifold. We extend the definition to Legendrian …
A generalization of cancellative dimer algebras to hyperbolic surfaces
K Baur, C Beil - arXiv preprint arXiv:2101.11512, 2021 - arxiv.org
We study a new class of quiver algebras on surfaces, called'geodesic ghor algebras'. These
algebras generalize cancellative dimer algebras on a torus to higher genus surfaces, where …
algebras generalize cancellative dimer algebras on a torus to higher genus surfaces, where …
Examples of geodesic ghor algebras on hyperbolic surfaces
K Baur, C Beil - arXiv preprint arXiv:2101.10843, 2021 - arxiv.org
Cancellative dimer algebras on a torus have many nice algebraic and homological
properties. However, these nice properties disappear for dimer algebras on higher genus …
properties. However, these nice properties disappear for dimer algebras on higher genus …
A bordered Legendrian contact algebra
JG Harper, MG Sullivan - 2014 - projecteuclid.org
Abstract In A bordered Chekanov–Eliashberg algebra, Sivek proves a" van Kampen"
decomposition theorem for the combinatorial Legendrian contact algebra (also known as the …
decomposition theorem for the combinatorial Legendrian contact algebra (also known as the …
[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 …
Legendrian contact homology in R3 John B. Etnyre and Lenhard L. Ng Abstract. This is an …
Legendrian knots and constructible sheaves
V Shende, D Treumann, E Zaslow - Inventiones mathematicae, 2017 - Springer
We study the unwrapped Fukaya category of Lagrangian branes ending on a Legendrian
knot. Our knots live at contact infinity in the cotangent bundle of a surface, the Fukaya …
knot. Our knots live at contact infinity in the cotangent bundle of a surface, the Fukaya …
Satellites of Legendrian knots and representations of the Chekanov–Eliashberg algebra
L Ng, D Rutherford - Algebraic & Geometric Topology, 2013 - msp.org
We develop a close relation between satellites of Legendrian knots in ℝ 3 and the
Chekanov–Eliashberg differential graded algebra of the knot. In particular, we generalize …
Chekanov–Eliashberg differential graded algebra of the knot. In particular, we generalize …