Symplectic homology of convex domains and Clarke's duality
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Publication:2119902
DOI10.1215/00127094-2021-0025zbMath1496.53092arXiv1907.07779OpenAlexW4210723193MaRDI QIDQ2119902
Jungsoo Kang, Alberto Abbondandolo
Publication date: 30 March 2022
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.07779
Symplectic aspects of Floer homology and cohomology (53D40) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)
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Cites Work
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- Morse theory and Floer homology. Translated from the French by Reinie Erné
- Symplectic homology of disc cotangent bundles of domains in Euclidean space
- Isomorphic chain complexes of Hamiltonian dynamics on tori
- Symplectic topology and Hamiltonian dynamics. II
- Nonlinear oscillations and boundary value problems for Hamiltonian systems
- Symplectic topology and Hamiltonian dynamics
- Convex Hamiltonian energy surfaces and their periodic trajectories
- Periodic solutions to Hamiltonian inclusions
- Generalized cohomological index theories for Lie group actions with an application to bifurcation questions for Hamiltonian systems
- Structure of the moduli space in a neighborhood of a cusp-curve and meromorphic hulls
- Symplectic homology. I: Open sets in \(\mathbb{C}^ n\)
- Applications of symplectic homology. I
- Symplectic homology. II: A general construction
- Symplectic capacities from positive \(S^1\)-equivariant symplectic homology
- Index theory for symplectic paths with applications
- Functors and computations in Floer homology with applications. I
- Floer homologies, with applications
- Applications of symplectic homology. II: Stability of the action spectrum
- Symplectic homology of displaceable Liouville domains and leafwise intersection points
- Symplectic homology, autonomous Hamiltonians, and Morse-Bott moduli spaces
- Espaces de Krein et index des systèmes hamiltoniens. (Krein spaces and index of Hamiltonian systems)
- On the Floer homology of cotangent bundles
- The Role of the Legendre Transform in the Study of the Floer Complex of Cotangent Bundles
- On the Beltrami equation, once again: 54 years later
- A biased view of symplectic cohomology
- A smooth pseudo-gradient for the Lagrangian action functional
- Equivariant Morse Theory for Starshaped Hamiltonian Systems
- Shorter Notes: A Classical Variational Principle for Periodic Hamiltonian Trajectories
- Hamiltonian trajectories having prescribed minimal period
- Inner and outer hamiltonian capacities
- Convex Analysis
