My recent papers.

• Poisson brackets and symplectic invariants (with L.Buhovsky and L.Polterovich). Published in Selecta Mathematica, 18:1 (2012), 89-157.


• Poisson brackets, quasi-states and symplectic integrators (with L.Polterovich and D.Rosen). Published in Discrete and Continuous Dynamical Systems, 28 (2010), 1455-1468.


• Lie quasi-states (with L.Polterovich). Published in Journal of Lie theory 19:3 (2009), 613-637.


• On continuity of quasi-morphisms for symplectic maps (with L.Polterovich and P.Py). With an appendix by M.Khanevsky. Published in Perspectives in Analysis, Geometry and Topology (a volume dedicated to Oleg Viro's 60th birthday), Springer, 2012.


• C^0-rigidity of the double Poisson bracket (with L.Polterovich). Published in the International Mathematics Research Notices (2009), 1134-1158.


• C^0-rigidity of Poisson brackets (with L.Polterovich). Published in Proceedings of the Joint Summer Research Conference on Symplectic Topology and Measure-Preserving Dynamical Systems (eds. A. Fathi, Y.-G. Oh and C. Viterbo), 25-32, Contemporary Mathematics 512, AMS, 2010.


• Symplectic quasi-states and semi-simplicity of quantum homology (with L.Polterovich). Published in Toric Topology (eds. M.Harada, Y.Karshon, M.Masuda and T.Panov), 47-70, Contemporary Mathematics 460, AMS, 2008.


• Rigid subsets of symplectic manifolds (with L.Polterovich). Published in Compositio Mathematica 145 (2009), 773-826.


• An "anti-Gleason" phenomenon and simultaneous measurements in classical mechanics (with L.Polterovich and F.Zapolsky). Published in Foundations of Physics 37:8 (2007), 1306-1316.


• Quasi-morphisms and the Poisson bracket (with L.Polterovich and F.Zapolsky). Published in Pure and Applied Mathematics Quarterly (the special issue dedicated to Gregory Margulis) 3:4 (2007).


• Quasi-states and symplectic intersections (with L.Polterovich). Published in Commentarii Mathematici Helvetici 81:1 (2006), 75-99.


• Calabi quasimorphisms for the symplectic ball (with P.Biran and L.Polterovich). Published in Communications in Contemporary Mathematics 6:5 (2004), 793-802.
• Postscript file


• Commutator length of symplectomorphisms. Published in Commentarii Mathematici Helvetici 79 (2004), 58-104.
• Version 2005 (with minor corrections): Postscript file


• Calabi quasimorphism and quantum homology. (with L.Polterovich). Published in International Mathematics Research Notices 30 (2003), 1635-1676.
• Postscript file


• K-area, Hofer metric and geometry of conjugacy classes in Lie groups. Published in Inventiones Mathematicae 146:1 (2001), 93-141.
• Version 2005 (with minor corrections): Postscript file


• Surgery on Lagrangian and Legendrian Singularities. Published in Geometric and Functional Analysis 9:2 (1999).
• Postscript file


• On the necessity of Legendrian fold singularities. Published in International Mathematics Research Notices 20 (1998).
• Postscript file


• Lagrangian embeddings into cotangent bundles and generating functions quadratic at infinity. A short note on a rather trivial observation, 1995.
• Postcript file


• On the ADE classification of simple singularities of functions. Published in Bull. des Sc. Math. 121:1 (1997).
• Postscript file

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