Leonid Polterovich
- Calabi quasimorphism and quantum homology
2002/05/23 by Michael Entov, Entov, Michael, Leonid Polterovich +1 · 9 citations
Mathematics · #53D05 #53D22 #53D40 #53D45 #Differential Geometry (math.DG) #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric and Algebraic Topology #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG) #math.DG #math.DS #math.SG #msc:53D05 #msc:53D22 #msc:53D40 #msc:53D45
- Partially ordered groups and geometry of contact transformations
1999/10/13 by Yakov Eliashberg, Eliashberg, Yakov, Leonid Polterovich +1 · 4 citations
Mathematics · #06Fxx (Secondary) #53C15 #58Dxx (Primary) 58F05 #Differential Geometry (math.DG) #Dynamical Systems (math.DS) #FOS: Mathematics #Group Theory (math.GR) #Symplectic Geometry (math.SG) #math.DG #math.DS #math.GR #math.SG #msc:06Fxx #msc:53C15 #msc:58Dxx #msc:58F05
- Lagrangian configurations and Hamiltonian maps
2021/02/11 by Leonid Polterovich, Polterovich, Leonid, Egor Shelukhin +1 · 7 citations
Mathematics · #53Dxx #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #Symplectic Geometry (math.SG)
- Hofer's diameter and Lagrangian intersections
1998/01/12 by Leonid Polterovich, Polterovich, Leonid · 3 citations
Mathematics · #58Dxx (Primary) 58F05 53C15 (Secondary) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric and Algebraic Topology #Mathematics and Applications #Point processes and geometric inequalities #math.DG #msc:53C15 #msc:58Dxx #msc:58F05
- Persistence modules with operators in Morse and Floer theory
2017/03/04 by Leonid Polterovich, Polterovich, Leonid, Egor Shelukhin +3 · 2 citations
Computer Science · Mathematics · #Algebraic Topology (math.AT) #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG) #Topological and Geometric Data Analysis
- Propagation in Hamiltonian dynamics and relative symplectic homology
2001/08/20 by Paul Biran, Leonid Polterovich, Biran, Paul +3 · 1 citation
Mathematics · #37J45 #53D40 #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Mathematical Dynamics and Fractals #Symplectic Geometry (math.SG) #math.SG #msc:37J45 #msc:53D40
- Boundary rigidity for Lagrangian submanifolds, non-removable intersections, and Aubry-Mather theory
2002/07/17 by Gabriel P. Paternain, Paternain, Gabriel P., Leonid Polterovich +3 · 1 citation
Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds #Symplectic Geometry (math.SG) #math.DS #math.SG
- Quasi-states and symplectic intersections
2004/10/14 by Michael Entov, Leonid Polterovich, Entov, Michael +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Quantum Physics (quant-ph) #Symplectic Geometry (math.SG) #math.FA #math.SG #quant-ph
- Symplectic topology and ideal-valued measures
2021/07/21 by Adi Dickstein, Yaniv Ganor, Dickstein, Adi +5 · 1 citation
Mathematics · #53Dxx #55Uxx #Advanced Operator Algebra Research #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG)
- Contact topology and non-equilibrium thermodynamics
2021/01/11 by Michael Entov, Leonid Polterovich, Entov, Michael +1 · 1 citation
Mathematics · Physics and Astronomy · #Markov Chains and Monte Carlo Methods #Theoretical and Computational Physics #Stochastic processes and statistical mechanics