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Relative Hofer-Zehnder capacity and positive symplectic homology (Q2139560)

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Language	Label	Description	Also known as
English	Relative Hofer-Zehnder capacity and positive symplectic homology	scientific article

Statements

scholarly article

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Relative Hofer-Zehnder capacity and positive symplectic homology (English)

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Gabriele Benedetti

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Journal of Fixed Point Theory and Applications

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publication date

18 May 2022

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full work available at URL

https://arxiv.org/abs/2010.15462

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zbMATH Keywords

Floer theory

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symplectic homology

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Liouville domains

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periodic orbits of Hamiltonian systems

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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Symplectic cohomology and Viterbo's theorem

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Local systems on the free loop space and finiteness of the Hofer-Zehnder capacity

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Two closed orbits for non-degenerate Reeb flows

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On the Floer homology of cotangent bundles

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Corrigendum: On the Floer Homology of Cotangent Bundles

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The Role of the Legendre Transform in the Study of the Floer Complex of Cotangent Bundles

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The Palais-Smale condition for the Hamiltonian action on a mixed regularity space of loops in cotangent bundles and applications

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Bounding Lagrangian widths via geodesic paths

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Propagation in Hamiltonian dynamics and relative symplectic homology

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Simple closed geodesics on convex surfaces

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Symplectic homology. II: A general construction

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Symplectic homology and periodic orbits near symplectic submanifolds

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Symplectic homology. I: Open sets in \(\mathbb{C}^ n\)

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Morse theory for Lagrangian intersections

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Symplectic fixed points and holomorphic spheres

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Arnold conjecture and Gromov-Witten invariant

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Finiteness of \(\pi _1\)-sensitive Hofer-Zehnder capacity and equivariant loop space homology

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Hamiltonian dynamics on convex symplectic manifolds

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Relative Hofer-Zehnder capacity and periodic orbits in twisted cotangent bundles

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The Conley conjecture and beyond

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The breadth of symplectic and Poisson geometry. Festschrift in honor of Alan Weinstein

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The Conley conjecture

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Holomorphic cylinders with Lagrangian boundaries and Hamiltonian dynamics

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Pseudo holomorphic curves in symplectic manifolds

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On the filtered symplectic homology of prequantization bundles

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TOTALLY NON-COISOTROPIC DISPLACEMENT AND ITS APPLICATIONS TO HAMILTONIAN DYNAMICS

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Floer homology in the cotangent bundle of a closed Finsler manifold and noncontractible periodic orbits

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Holomorphic curves and Hamiltonian systems in an open set with restricted contact-type boundary

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The weinstein conjecture in the presence of holomorphic spheres

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Periodic solutions on hypersurfaces and a result by C. Viterbo

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Symplectic invariants and Hamiltonian dynamics

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Hofer-Zehnder capacity of unit disk cotangent bundles and the loop product

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Symplectic homology of displaceable Liouville domains and leafwise intersection points

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Floer homology and Arnold conjecture

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WEINSTEIN CONJECTURE AND GW-INVARIANTS

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THE WEINSTEIN CONJECTURE ON SOME SYMPLECTIC MANIFOLDS CONTAINING THE HOLOMORPHIC SPHERES

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Gromov-Witten invariants and pseudo symplectic capacities

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HOFER–ZEHNDER CAPACITY AND HAMILTONIAN CIRCLE ACTIONS

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Morse Theory. (AM-51)

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A REFINEMENT OF THE HOFER–ZEHNDER THEOREM ON THE EXISTENCE OF CLOSED CHARACTERISTICS NEAR A HYPERSURFACE

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On the Arnold conjecture for weakly monotone symplectic manifolds

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Periodic solutions of hamiltonian systems

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Novikov-symplectic cohomology and exact Lagrangian embeddings

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On the action spectrum for closed symplectically aspherical manifolds

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Applications of Hofer's geometry to Hamiltonian dynamics

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Existence of periodic solutions of Hamiltonian systems on almost every energy surface

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Hofer's metric on the space of Lagrangian submanifolds and wrapped Floer homology

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The sharp energy-capacity inequality on convex symplectic manifolds

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Floer homology and the heat flow

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Deformed Hamiltonian Floer theory, capacity estimates and Calabi quasimorphisms

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Many closed symplectic manifolds have infinite Hofer–Zehnder capacity

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A proof of Weinstein's conjecture in \(\mathbb R^{2n}\)

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Symplectic topology as the geometry of generating functions

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Functors and computations in Floer homology with applications. I

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Exact Lagrange submanifolds, periodic orbits and the cohomology of free loop spaces

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The homology theory of the closed geodesic problem

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Noncontractible periodic orbits in cotangent bundles and Floer homology

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Periodic orbits for convex hamiltonian systems

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On the hypotheses of Rabinowitz' periodic orbit theorems

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The free loop space of globally symmetric spaces

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S11784-022-00963-8

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Sitelinks

Mathematics(1 entry)

mardi Publication:2139560

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