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Invariant Finsler metrics on the space of Lagrangian embeddings

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-3-0348-8508-9openalex-snapshot
Holomorphic Curves in Symplectic Geometry
inferredcites →https://doi.org/10.1007/bf01444643openalex-snapshot
Symplectic topology as the geometry of generating functions
inferredcites →https://doi.org/10.1007/bf02566074openalex-snapshot
Sur la structure du groupe des difféomorphismes qui préservent une forme symplectique
inferredcites →https://doi.org/10.1007/bf02566630openalex-snapshot
Une structure symplectique sur ℝ6 avec une sphère lagrangienne plongée et un champ de Liouville completavec une sphère lagrangienne plongée et un champ de Liouville complet
inferredcites →https://doi.org/10.1017/s0308210500024549openalex-snapshot
On the topological properties of symplectic maps
inferredcites →https://doi.org/10.1090/crmp/015/07openalex-snapshot
Generating functions versus action functional—stable Morse theory versus Floer theory
inferredcites →https://doi.org/10.1215/s0012-7094-98-09506-0openalex-snapshot
Lagrangian intersections, symplectic energy, and areas of holomorphic curves

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Hausdorff Limits of Submanifolds of Symplectic and Contact Manifolds
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HOMOTOPICAL DYNAMICS IN SYMPLECTIC TOPOLOGY
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Viterbo conjecture for Zoll symmetric spaces
inferred← citeshttps://doi.org/10.1007/s00229-007-0076-4openalex-snapshot
Geodesics of Hofer’s metric on the space of Lagrangian submanifolds
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Remarks on the oscillation energy of Legendrian isotopies
inferred← citeshttps://doi.org/10.1007/s11784-016-0287-yopenalex-snapshot
Hofer’s metric on the space of Lagrangian submanifolds and wrapped Floer homology
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A Hölder-type inequality for the Hausdorff distance between Lagrangians
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Lagrangian intersections and a conjecture of Arnol’d
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Hausdorff limits of submanifolds of symplectic and contact manifolds
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The unbounded Lagrangian spectral norm and wrapped Floer cohomology
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Action spectrum and Hofer's distance between Lagrangian submanifolds☆☆Author's research is partially supported by the Serbian Ministry for Science, Technologies and Development Projects #1643 and #1863.
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Quantitative symplectic geometry
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Hofer’s Distance on Diameters and the Maslov Index
inferred← citeshttps://doi.org/10.1112/blms.12555openalex-snapshot
Local rigidity, symplectic homeomorphisms, and coisotropic submanifolds
inferred← citeshttps://doi.org/10.1142/s0129167x23500246openalex-snapshot
Convergence and Riemannian bounds on Lagrangian submanifolds
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A COMPARISON OF HOFER'S METRICS ON HAMILTONIAN DIFFEOMORPHISMS AND LAGRANGIAN SUBMANIFOLDS
inferred← citeshttps://doi.org/10.1142/s0219199719500421openalex-snapshot
Interval topology in contact geometry
inferred← citeshttps://doi.org/10.1142/s0219887822500633openalex-snapshot
Quantization in Cartesian coordinates and the Hofer metric
inferred← citeshttps://doi.org/10.1142/s1793525309000187openalex-snapshot
HOFER'S METRIC ON THE SPACE OF DIAMETERS
inferred← citeshttps://doi.org/10.1142/s1793525318500267openalex-snapshot
Spectral invariants for monotone Lagrangians
inferred← citeshttps://doi.org/10.1142/s1793525319500092openalex-snapshot
Invariants of Lagrangian cobordisms via spectral numbers
inferred← citeshttps://doi.org/10.1142/s1793525321500564openalex-snapshot
On the Hofer girth of the sphere of great circles
inferred← citeshttps://doi.org/10.1155/imrn.2005.2123openalex-snapshot
inferred← citeshttps://doi.org/10.11650/tjm.19.2015.5098openalex-snapshot
A CLASS OF NEW BI-INVARIANT METRICS ON THE HAMILTONIAN DIFFEOMORPHISM GROUPS
inferred← citeshttps://doi.org/10.2140/gt.2021.25.3257openalex-snapshot
Bounds on spectral norms and barcodes
inferred← citeshttps://doi.org/10.24033/asens.2185openalex-snapshot
Hofer’s metrics and boundary depth
inferred← citeshttps://doi.org/10.24033/ast.1148openalex-snapshot
Lagrangian shadows and triangulated categories
inferred← citeshttps://doi.org/10.33540/326openalex-snapshot
Locally uniform existence of leafwise fixed points for C0-small Hamiltonian flows & generating systems of symplectic capacities
inferred← citeshttps://doi.org/10.3934/jmd.2024007openalex-snapshot
On the growth of the Floer barcode
inferred← citeshttps://doi.org/10.4007/annals.2007.166.657openalex-snapshot
Lagrangian intersections and the Serre spectral sequence
inferred← citeshttps://doi.org/10.4171/jems/470openalex-snapshot
Submanifolds and the Hofer norm
inferred← citeshttps://doi.org/10.4310/arkiv.2024.v62.n1.a8openalex-snapshot
Legendrians with vanishing Shelukhin–Chekanov–Hofer metric
inferred← citeshttps://doi.org/10.4310/jdg/1557281005openalex-snapshot
Lagrangian cobordism and metric invariants
inferred← citeshttps://doi.org/10.4310/jsg.2012.v10.n3.a6openalex-snapshot
A geometric refinement of a theorem of Chekanov
inferred← citeshttps://doi.org/10.4310/jsg.2013.v11.n3.a7openalex-snapshot
On the Hofer geometry for weakly exact Lagrangian submanifolds
inferred← citeshttps://doi.org/10.4310/mrl.2015.v22.n6.a14openalex-snapshot
Observations on the Hofer distance between closed subsets
inferred← citeshttps://doi.org/10.4310/mrl.2021.v28.n6.a10openalex-snapshot
Local rigidity, contact homeomorphisms, and conformal factors
inferred← citeshttps://doi.org/10.48550/arxiv.1103.1804openalex-snapshot
Hofer's distance on diameters and the Maslov index
inferred← citeshttps://doi.org/10.48550/arxiv.1201.0504openalex-snapshot
On the Lagrangian Hofer geometry in symplectically aspherical manifolds
inferred← citeshttps://doi.org/10.48550/arxiv.2106.06378openalex-snapshot
Gromov-Hausdorff distance between filtered $A_{\infty}$ categories 1: Lagrangian Floer theory
inferred← citeshttps://doi.org/10.48550/arxiv.math/0401094openalex-snapshot
Lagrangian Intersections and the Serre Spectral Sequence
inferred← citeshttps://doi.org/10.71781/15725openalex-snapshot
Quelques propriétés des sous-variétés lagrangiennes monotones : Rayon de Gromov et morphisme de Seidel
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