Lev Buhovski

Published or in press

Note: the files here might be slightly different from the published versions

  1. Homology of Lagrangian Submanifolds in Cotangent Bundles. Israel Journal of Mathematics, Volume 143, Number 1 (2004), pp 181-187.
  2. Growth gap versus smoothness for diffeomorphisms of the interval. Joint with Roman Muraviev. Journal of Modern Dynamics, Volume 2, No. 4 (2008), pp 629-643.
  3. The Maslov class of Lagrangian tori and quantum products in Floer cohomology. Journal of Topology and Analysis, Volume 2, Issue 1 (2010), pp 57-75.
  4. A maximal relative symplectic packing construction. Journal of Symplectic Geometry, Volume 8, Number 1 (2010), pp 67-72.
  5. The 2/3-convergence rate for the Poisson bracket. Geometric and Functional Analysis, Volume 19, Number 6 (2010), pp 1620-1649.
  6. On the Uniqueness of Hofer's Geometry. Joint with Yaron Ostrover. Geometric and Functional Analysis, Volume 21, Number 6 (2011), pp 1296-1330.
  7. Poisson brackets and symplectic invariants. Joint with Michael Entov and Leonid Polterovich. Selecta Mathematica, 18:1 (2012), pp 89-157.
  8. Uniqueness of generating Hamiltonians for topological Hamiltonian flows. Joint with Sobhan Seyfaddini. Journal of Symplectic Geometry, Volume 11 (2013), Number 1, pp 37-52.
  9. Unboundedness of the first eigenvalue of the Laplacian in symplectic category. Journal of Topology and Analysis, Volume 5, Issue 1 (2013), pp 13-56.
  10. The gap between near commutativity and almost commutativity in symplectic category. Electronic Research Announcements in Mathematical Sciences, Volume 20 (2013), pp 71-76.
  11. Towards the C^0 flux conjecture. Algebraic & Geometric Topology, Volume 14, Issue 6 (2014), pp 3493-3508.
  12. Some quantitative results in C^0 symplectic geometry. Joint with Emmanuel Opshtein. Inventiones Mathematicae, Volume 205, Issue 1 (2016), pp. 1-56.
  13. Non-isometric domains with the same Marvizi-Melrose invariants. Joint with Vadim Kaloshin. Regular and Chaotic Dynamics, Volume 23, Issue 1 (2018), pp. 54-59.
  14. Monovex Sets. Joint with Eilon Solan and Omri Nisan Solan. Studia Mathematica 242 (2) (2018), pp. 165-178.
  15. Translation-invariant probability measures on entire functions. Joint with Adi Glucksam, Alexander Logunov, and Mikhail Sodin. Accepted to Journal d'Analyse Mathematique.
  16. A C^0 counterexample to the Arnold conjecture. Joint with Vincent Humiliere and Sobhan Seyfaddini. Accepted to Inventiones Mathematicae.