Critical points of quasi-functions and generating families of Legendrian manifolds

DOI10.1007/BF02509451zbMath0873.58017MaRDI QIDQ677681

Yu. V. Chekanov

Publication date: 2 November 1997

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

Morse theoryLjusternik-Schnirelmann theoryLegendrian manifolds

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25)

Related Items

Bifurcations on contact manifolds, An Arnold-type principle for non-smooth objects, Families of legendrians and Lagrangians with unbounded spectral norm, A Contact Camel Theorem, A Morse estimate for translated points of contactomorphisms of spheres and projective spaces, Obstructions to Lagrangian cobordisms between Legendrians via generating families, Bi-invariant metrics on the contactomorphism groups, Translated points and Rabinowitz Floer homology, ON ITERATED TRANSLATED POINTS FOR CONTACTOMORPHISMS OF ℝ²ⁿ⁺¹ AND ℝ²ⁿ × S¹, Geodesics of norms on the contactomorphisms group of \(\mathbb{R}^{2n}\times S^1\), Sheaf quantization of Hamiltonian isotopies and applications to nondisplaceability problems, On Legendrian cobordisms and generating functions, Remarks on the oscillation energy of Legendrian isotopies, Legendrian links and déjà vu moments, An Energy–Capacity inequality for Legendrian submanifolds, Generating function polynomials for Legendrian links, A Legendrian Turaev torsion via generating families, Interval topology in contact geometry, Lagrangian cobordisms via generating families: construction and geography, A generalisation of the Morse inequalities, Contact homology, capacity and non-squeezing in \(\mathbb R^{ 2n }\times S^{ 1 }\) via generating functions, Quasimorphisms on contactomorphism groups and contact rigidity, AN INTEGER-VALUED BI-INVARIANT METRIC ON THE GROUP OF CONTACTOMORPHISMS OF ℝ²ⁿ × S¹, A variational principle for actions on symmetric symplectic spaces, Non-negative Legendrian isotopy in \(ST^{\ast}M\), Décomposition des difféomorphismes du tore en applications déviant la verticale (avec un appendice en collaboration avec Jean-Marc Gambaudo), Symplectic topology in the nineties, Symplectic homogenization

Cites Work

• The Birkhoff-Lewis fixed point theorem and a conjecture of V.I. Arnold
• Persistance d'intersection avec la section nulle au cours d'une isotopie hamiltonienne dans un fibré cotangent
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