Lagrangian concordance is not a symmetric relation

DOI10.4171/QT/68zbMath1337.57056arXiv1301.3767MaRDI QIDQ889251

Baptiste Chantraine

Publication date: 6 November 2015

Published in: Quantum Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.3767

zbMATH Keywords

Legendrian knotcontact homologyLagrangian cobordism

Mathematics Subject Classification ID

Symplectic and contact topology in high or arbitrary dimension (57R17) General geometric structures on low-dimensional manifolds (57M50) Symplectic field theory; contact homology (53D42)

Related Items (10)

Constructions of Lagrangian Cobordisms ⋮ Legendrian satellites and decomposable cobordisms ⋮ The augmentation category map induced by exact Lagrangian cobordisms ⋮ Augmentations and immersed Lagrangian fillings ⋮ Doubly slice knots and obstruction to Lagrangian concordance ⋮ Cellular Legendrian contact homology for surfaces. I ⋮ Ruling polynomials and augmentations over finite fields ⋮ Smoothly non-isotopic Lagrangian disk fillings of Legendrian knots ⋮ Non-loose Legendrian spheres with trivial contact homology DGA ⋮ Lagrangian cobordisms and Legendrian invariants in knot Floer homology

Cites Work

• Bilinearized Legendrian contact homology and the augmentation category
• Rational symplectic field theory over \(\mathbb Z_{2}\) for exact Lagrangian cobordisms
• Lagrangian concordance of Legendrian knots
• Differential algebra of Legendrian links
• Naturality in sutured monopole and instanton homology
• Some non-collarable slices of Lagrangian surfaces
• An Atlas of Legendrian Knots

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