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- Leonid Polterovich

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
31
Citations
4,253
138
World Ranking
2589
National Ranking
42

- Topology
- Mathematical analysis
- Quantum mechanics

His primary areas of investigation include Symplectic geometry, Symplectic manifold, Pure mathematics, Symplectomorphism and Moment map. His studies deal with areas such as Manifold and Homology as well as Symplectic geometry. His studies in Symplectic manifold integrate themes in fields like Topology and Algebra.

His Algebra research is multidisciplinary, incorporating elements of Geometry and topology and Symplectic matrix, Symplectic representation, Symplectic vector space. His study in Pure mathematics is interdisciplinary in nature, drawing from both Mathematical analysis and Real number. His Symplectomorphism research is multidisciplinary, incorporating elements of Hamiltonian mechanics and Superintegrable Hamiltonian system.

- Calabi quasimorphism and quantum homology (211 citations)
- Symplectic packings and algebraic geometry (184 citations)
- Rigid subsets of symplectic manifolds (150 citations)

His primary scientific interests are in Symplectic geometry, Pure mathematics, Symplectic manifold, Symplectomorphism and Mathematical analysis. He has researched Symplectic geometry in several fields, including Poisson bracket, Quantum, Homology and Mathematical physics. His work on Hamiltonian system is typically connected to Unsharpness and Lagrangian as part of general Mathematical physics study, connecting several disciplines of science.

His Pure mathematics research integrates issues from Cotangent bundle, Uniform norm and Class. Leonid Polterovich studied Symplectic manifold and Hamiltonian that intersect with Identity component. As a part of the same scientific family, Leonid Polterovich mostly works in the field of Symplectomorphism, focusing on Moment map and, on occasion, Geometry and topology.

- Symplectic geometry (67.36%)
- Pure mathematics (54.17%)
- Symplectic manifold (50.00%)

- Symplectic geometry (67.36%)
- Quantum (14.58%)
- Pure mathematics (54.17%)

Leonid Polterovich spends much of his time researching Symplectic geometry, Quantum, Pure mathematics, Quantization and Classical mechanics. Leonid Polterovich studies Symplectomorphism which is a part of Symplectic geometry. His work carried out in the field of Symplectomorphism brings together such families of science as Embedding, Algebraic number and Field.

His studies in Pure mathematics integrate themes in fields like Order and Group. His research in Quantization intersects with topics in Mathematical physics, Phase space, Toeplitz matrix and Semiclassical physics. His study focuses on the intersection of Remainder and fields such as Quantum measurement with connections in the field of Symplectic manifold.

- Autonomous Hamiltonian flows, Hofer’s geometry and persistence modules (55 citations)
- Persistence Modules with Operators in Morse and Floer Theory (23 citations)
- On Sandon-type metrics for contactomorphism groups (15 citations)

- Topology
- Mathematical analysis
- Geometry

Quantum, Symplectic geometry, Quantization, Geometry and Mathematical physics are his primary areas of study. The study incorporates disciplines such as Intersection, Persistent homology, Homology and Product in addition to Quantum. His Symplectic geometry research is multidisciplinary, relying on both Covering space, Norm, Bounded function, Real line and Order.

In his work, Topology and Toeplitz matrix is strongly intertwined with Semiclassical physics, which is a subfield of Quantization. His Floer homology study in the realm of Geometry connects with subjects such as Robustness and Differential topology. His work deals with themes such as Quantum measurement, Symplectic manifold, Correspondence principle, Hamiltonian and Remainder, which intersect with Mathematical physics.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Calabi quasimorphism and quantum homology

Michael Entov;Leonid Polterovich.

International Mathematics Research Notices **(2003)**

315 Citations

Symplectic packings and algebraic geometry

Dusa McDuff;Leonid Polterovich.

Inventiones Mathematicae **(1994)**

295 Citations

Geometry of contact transformations and domains: orderability versus squeezing

Yakov Eliashberg;Sang Seon Kim;Leonid Polterovich.

Geometry & Topology **(2006)**

223 Citations

Quasi-states and symplectic intersections

Michael Entov;Leonid Polterovich.

Commentarii Mathematici Helvetici **(2006)**

213 Citations

Rigid subsets of symplectic manifolds

Michael Entov;Leonid Polterovich.

Compositio Mathematica **(2009)**

195 Citations

Growth of maps, distortion in groups and symplectic geometry

Leonid Polterovich.

Inventiones Mathematicae **(2002)**

165 Citations

Partially ordered groups and geometry of contact transformations

Y. Eliashberg;L. Polterovich.

Geometric and Functional Analysis **(2000)**

161 Citations

Propagation in Hamiltonian dynamics and relative symplectic homology

Paul Biran;Leonid Polterovich;Dietmar Salamon.

Duke Mathematical Journal **(2003)**

156 Citations

THE SURGERY OF LAGRANGE SUBMANIFOLDS

L. Polterovich.

Geometric and Functional Analysis **(1991)**

149 Citations

Symplectic rigidity: Lagrangian submanifolds

Michèle Audin;François Lalonde;Leonid Polterovich.

**(1994)**

147 Citations

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