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On the Hofer-Zehnder conjecture - MaRDI portal

On the Hofer-Zehnder conjecture (Q2171408)

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Language	Label	Description	Also known as
English	On the Hofer-Zehnder conjecture	scientific article

Statements

scholarly article

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On the Hofer-Zehnder conjecture (English)

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Annals of Mathematics. Second Series

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publication date

9 September 2022

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full work available at URL

https://arxiv.org/abs/1905.04769

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zbMATH Keywords

Hamiltonian diffeomorphisms

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periodic points

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Floer homology

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persistence modules

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Smith theory

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equivariant cohomology

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barcodes

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MaRDI profile type

MaRDI publication profile

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Symplectic cohomology and Viterbo's theorem

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Simple homotopy equivalence of nearby Lagrangians

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Induced Matchings and the Algebraic Stability of Persistence Barcodes

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Rigidity and uniruling for Lagrangian submanifolds

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Lagrangian Shadows and Triangulated Categories

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Seminar on Transformation Groups. (AM-46)

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First Steps Towards a Symplectic Dynamics

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Proof of the Poincaré-Birkhoff fixed point theorem

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Topology and data

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PERSISTENCE BARCODES FOR SHAPES

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The Structure and Stability of Persistence Modules

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Proximity of persistence modules and their diagrams

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On the iterated Hamiltonian Floer homology

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Stability of persistence diagrams

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A symplectic proof of a theorem of Franks

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Morse‐type index theory for flows and periodic solutions for Hamiltonian Equations

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Subharmonic solutions and Morse theory

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The Birkhoff-Lewis fixed point theorem and a conjecture of V.I. Arnold

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Decomposition of pointwise finite-dimensional persistence modules

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Topological persistence and simplification

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Symplectic quasi-states and semi-simplicity of quantum homology

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Rigid subsets of symplectic manifolds

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Proof of the Arnold conjecture for surfaces and generalizations to certain Kähler manifolds

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Morse theory for fixed points of symplectic diffeomorphisms

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Symplectic fixed points and holomorphic spheres

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Witten's complex and infinite dimensional Morse theory

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On Periodic Maps and the Euler Characteristics of Associated Spaces

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A symplectic fixed point theorem for \({\mathbb{C}}P^ n\)

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A symplectic fixed point theorem for complex projective spaces

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Geodesics on \(S^ 2\) and periodic points of annulus homeomorphisms

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Area preserving homeomorphisms of open surfaces of genus zero

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Periodic points of Hamiltonian surface diffeomorphisms

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Displacement of polydisks and Lagrangian Floer theory

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Arnold conjecture and Gromov-Witten invariant

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Barcodes: The persistent topology of data

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The Conley conjecture

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Action and index spectra and periodic orbits in Hamiltonian dynamics

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Local Floer homology and the action gap

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Conley Conjecture for Negative Monotone Symplectic Manifolds

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Hyperbolic fixed points and periodic orbits of Hamiltonian diffeomorphisms

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Non-contractible Periodic Orbits in Hamiltonian Dynamics on Closed Symplectic Manifolds

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Hamiltonian pseudo-rotations of projective spaces

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Conley Conjecture Revisited

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Pseudo holomorphic curves in symplectic manifolds

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On non-contractible periodic orbits of Hamiltonian diffeomorphisms

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The Conley conjecture for irrational symplectic manifolds

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Subharmonic solutions of Hamiltonian equations on tori

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On the topological properties of symplectic maps

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Cartier isomorphism and Hodge Theory in the non-commutative case

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Bounds on spectral norms and barcodes

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The geometry of symplectic energy

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Periodic orbits of Hamiltonian homeomorphisms of surfaces

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Pourquoi les points périodiques des homéomorphismes du plan tournent-ils autour de certains points fixes ?

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Barcodes and area-preserving homeomorphisms

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Spectral invariants for monotone Lagrangians

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Associativity of quantum multiplication

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Floer homology and Arnold conjecture

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IDEAL PERTURBATION LEMMA

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Local Floer homology and infinitely many simple Reeb orbits

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Spectral invariants, analysis of the Floer moduli space, and geometry of the Hamiltonian diffeomorphism group

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Symplectic Topology and Floer Homology

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Non-contractible periodic orbits in Hamiltonian dynamics on tori

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On the existence of infinitely many non-contractible periodic orbits of Hamiltonian diffeomorphisms of closed symplectic manifolds

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Calabi quasi-morphisms for some non-monotone symplectic manifolds

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An algebraic approach to virtual fundamental cycles on moduli spaces of pseudo-holomorphic curves

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Function Theory on Symplectic Manifolds

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Autonomous Hamiltonian flows, Hofer's geometry and persistence modules

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Persistence modules with operators in Morse and Floer theory

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The Maslov index for paths

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Virtual neighborhoods and pseudo-holomorphic curves

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A mathematical theory of quantum cohomology

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A mathematical theory of quantum cohomology

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Morse theory for periodic solutions of hamiltonian systems and the maslov index

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On the action spectrum for closed symplectically aspherical manifolds

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Symplectic Floer homology and the mapping class group.

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Fukaya categories and Picard-Lefschetz theory

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The equivariant pair-of-pants product in fixed point Floer cohomology

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Commuting symplectomorphisms and Dehn twists in divisors

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THE SHARP ENERGY-CAPACITY INEQUALITY

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Boundary depth in Floer theory and its applications to Hamiltonian dynamics and coisotropic submanifolds

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Hofer's metrics and boundary depth

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Persistent homology and Floer-Novikov theory

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Symplectic topology as the geometry of generating functions

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Computing persistent homology

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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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10.4007/ANNALS.2022.195.3.1

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Sitelinks

Mathematics(1 entry)

mardi Publication:2171408

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