L. Polterovich

Geometry and Topology · 2001–2017

A researcher in the Science corpus: 18 papers; trusts 36 researchers and is trusted by 58 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 82 citations into it; #191 of 7,422 by trust here, #175 by citations
• Mathematical Physics — 65 citations into it; #264 of 8,562 by trust here, #211 by citations
• Computational Theory and Mathematics — 29 citations into it; #2,255 of 12,182 by trust here, #2,419 by citations
• Applied Mathematics — 14 citations into it; #4,476 of 7,620 by trust here, #4,749 by citations
• Computer Graphics and Computer-Aided Design — 9 citations into it
• Discrete Mathematics and Combinatorics — 8 citations into it; #272 of 2,017 by trust here, #471 by citations
• Statistical and Nonlinear Physics — 7 citations into it
• Computer Vision and Pattern Recognition — 5 citations into it

Whom L. Polterovich trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. M. Schwarz
2. Michael Entov
3. Michael Usher
4. Gunnar E. Carlsson
5. P. Biran
6. Robert Ghrist
7. Yong-Geun Oh
8. Urs Frauenfelder
9. D. Mcduff
10. Benson Farb

Who trusts L. Polterovich overall

1. Michael Entov
2. Michael Usher
3. Yong-Geun Oh
4. V. Ginzburg
5. Alexandra Monzner
6. F. Zapolsky
7. A. Kislev
8. E. Shelukhin
9. Y. Ostrover
10. R. Leclercq

Papers from L. Polterovich's perspective

Ordered by how strongly the researchers L. Polterovich trusts endorse each paper. Same corpus, a different order for every researcher.

1. Calabi quasimorphism and quantum homology
2. Rigid subsets of symplectic manifolds (Compositio Mathematica)
3. Lectures on Floer homology
4. Stability of Persistence Diagrams (Discrete & Computational Geometry)
5. Topology and data
6. Construction of spectral invariants of Hamiltonian paths on closed symplectic manifolds
7. Spectral numbers in Floer theories (Compositio Mathematica)
8. Computing Persistent Homology (SCG '04)
9. J-Holomorphic Curves and Symplectic Topology
10. Rigidity and uniruling for Lagrangian submanifolds

Their papers

• New Perspectives and Challenges in Symplectic Field Theory (2009) — 133 citations
• Growth of maps, distortion in groups and symplectic geometry (2001) — 135 citations
• Function Theory on Symplectic Manifolds (2014) — 90 citations
• Persistence modules with operators in Morse and Floer theory (2017) — 47 citations
• Autonomous Hamiltonian flows, Hofer’s geometry and persistence modules (2014) — 120 citations
• On Continuity of Quasimorphisms for Symplectic Maps (2012) — 47 citations
• Rigid subsets of symplectic manifolds (2007) — 187 citations
• Conjugation-invariant norms on groups of geometric origin (2007) — 155 citations
• Symplectic quasi-states and semi-simplicity of quantum homology (2007) — 59 citations
• Quasi-morphisms and the Poisson bracket (2006) — 69 citations
• Erratum to “Geometry of contact transformations and domains: orderability versus squeezing” (2005) — 178 citations
• Quasi-states and symplectic intersections (2004) — 158 citations
• Sign and area in nodal geometry of Laplace eigenfunctions (2004) — 58 citations
• CALABI QUASIMORPHISMS FOR THE SYMPLECTIC BALL (2003) — 94 citations
• Calabi quasimorphism and quantum homology (2002) — 261 citations
• Boundary rigidity for Lagrangian submanifolds, non-removable intersections, and Aubry-Mather theory (2002) — 71 citations
• Propagation in Hamiltonian dynamics and relative symplectic homology (2001) — 113 citations
• The Geometry of the Group of Symplectic Diffeomorphism (2001) — 411 citations