Legendrian knots and exact Lagrangian cobordisms.
T Ekholm, K Honda, T Kálmán - Journal of the European Mathematical …, 2016 - ems.press
We introduce constructions of exact Lagrangian cobordisms with cylindrical Legendrian
ends and study their invariants which arise from Symplectic Field Theory. A pair (X, L) …
ends and study their invariants which arise from Symplectic Field Theory. A pair (X, L) …
Symplectic homology and the Eilenberg–Steenrod axioms
K Cieliebak, A Oancea - Algebraic & Geometric Topology, 2018 - msp.org
We give a definition of symplectic homology for pairs of filled Liouville cobordisms, and show
that it satisfies analogues of the Eilenberg–Steenrod axioms except for the dimension axiom …
that it satisfies analogues of the Eilenberg–Steenrod axioms except for the dimension axiom …
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 …
[PDF][PDF] Weinstein manifolds revisited
Y Eliashberg - arXiv preprint arXiv:1707.03442, 2017 - arxiv.org
Weinstein manifolds revisited arXiv:1707.03442v2 [math.SG] 29 Aug 2017 Page 1 Weinstein
manifolds revisited Yakov Eliashberg ∗ Department of Mathematics, Stanford University Abstract …
manifolds revisited Yakov Eliashberg ∗ Department of Mathematics, Stanford University Abstract …
Augmentations are sheaves
We show that the set of augmentations of the Chekanov–Eliashberg algebra of a
Legendrian link underlies the structure of a unital A∞–category. This differs from the …
Legendrian link underlies the structure of a unital A∞–category. This differs from the …
Bilinearized Legendrian contact homology and the augmentation category
F Bourgeois, B Chantraine - 2014 - projecteuclid.org
In this paper, we construct an A_∞-category associated to a Legendrian submanifold of a jet
space. Objects of the category are augmentations of the Chekanov algebra A(Λ) and the …
space. Objects of the category are augmentations of the Chekanov algebra A(Λ) and the …
Lifting pseudo-holomorphic polygons to the symplectisation of P× R and applications
GD Rizell - Quantum Topol, 2016 - content.ems.press
Let R. PR/be the symplectisation of the contactisation of an exact symplectic manifold P, and
let R ƒ be a cylinder over a Legendrian submanifold of the contactisation. We show that a …
let R ƒ be a cylinder over a Legendrian submanifold of the contactisation. We show that a …
[图书][B] An introduction to compactness results in symplectic field theory
C Abbas - 2014 - Springer
This text originates from special topics lectures I gave at Michigan State University on
Symplectic Field Theory during the Fall of 2005 and the Spring of 2006 for graduate students …
Symplectic Field Theory during the Fall of 2005 and the Spring of 2006 for graduate students …
Obstructions to Lagrangian cobordisms between Legendrians via generating families
JM Sabloff, L Traynor - Algebraic & Geometric Topology, 2013 - msp.org
The technique of generating families produces obstructions to the existence of embedded
Lagrangian cobordisms between Legendrian submanifolds in the symplectizations of 1–jet …
Lagrangian cobordisms between Legendrian submanifolds in the symplectizations of 1–jet …
[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 …