Publication List

Most of Ginzburg's recent publications are available at the XXX Mathematics Archive. Click on the preprint number to see the abstract and the links to the PDF file of the paper. (Warning: preprint versions may differ slightly from published papers.)

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• Cobordisms and Hamiltonian group actions, co-authors: V. Guillemin and Y. Karshon. Mathematical Surveys and Monographs, vol. 98. American Mathematical Society, 2002. Link to the AMS bookstore.

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• Barcode entropy of geodesic flows, co-authors: B. Gurel and M. Mazzucchelli; Preprint arXiv:2212.00943.

• Lower semi-continuity of Lagrangian volume, co-authors: E. Cineli and B. Gurel; Preprint arXiv:2210.04357.

• On the growth of the Floer barcode, co-authors: E. Cineli and B. Gurel; Preprint arXiv:2207.03613.

• Topological entropy of Hamiltonian diffeomorphisms: a persistence homology and Floer theory perspective, co-authors: E. Cineli and B. Gurel; Preprint arXiv:2111.03983.

• Another look at the Hofer-Zehnder conjecture, co-authors: E. Cineli and B. Gurel; arXiv:2009.13052. Published J. Fixed Point Theory Appl., Claude Viterbo’s 60th Birthday Festschrift,, 24 (2022), doi:10.1007/s11784- 022-00937-w.

• Dynamical convexity and closed orbits on symmetric spheres, co-authors: L. Macarini; arXiv:1912.04882. Published Duke. Math. J., 170 (2021), 1201-1250.

• From pseudo-rotations to holomorphic curves via quantum Steenrod squares, co-authors: E. Cineli and B. Gurel; arXiv:1909.11967. Published Int. Math. Res. Not. IMRN, (2020), doi:10.1093/imrn/rnaa173.

• On the spectral characterization of Besse and Zoll Reeb flows, co-authors: B. Gurel and M. Mazzucchelli; arXiv:1909.03310. Published Annales de l'IHP. 38 (2021), 549-576.

• Pseudo-rotations and holomorphic curves, co-authors: E. Cineli and B. Gurel; Preprint arXiv:1905.07567. Published Selecta Math. 26 (2020), no. 5, paper no. 78, 31pp.

• On the iterated Hamiltonian Floer homology, co-author: E. Cineli; Preprint arXiv:1902.06369. Published Comm. Contemp. Math., (2020), doi:10.1142/S0219199720500261.

• Pseudo-rotations vs. rotations, co-author: B. Gurel; arXiv:1812.05782. Published J. London Math. Soc., (2022), doi:10.1112/jlms.12665.

• Approximate identities and Lagrangian Poincare recurrence, co-author: B. Gurel; arXiv:1812.00299. Published Arnold Math. J. 5 (2019), no. 1, 5–14.

• On the filtered symplectic homology of prequantization bundles, co-author: J. Shon; arXiv:1806.05705. Published Internat. J. Math. (2018) DOI: 10.1142/S0129167X18500714.

• Hamiltonian pseudo-rotations of projective spaces, co-author: B. Gurel; arXiv:1712.09766. Published: Invent. Math. (2018) DOI: 10.1007/s00222-018-0818-9.

• Multiplicity of closed Reeb orbits on prequantization bundles, co-authors: B. Gurel, L. Macarini; arXiv:1703.04054. Published Israel J. Math. (2018) DOI: 10.1007/s11856-018-1769-y.

• Conley conjecture revisited, co-author: B. Gurel; arXiv:1609.05592. Published Int. Math. Res. Notices IMRN, (2017) https://doi.org/10.1093/imrn/rnx137.

• Random chain complexes, co-author: D. Pasechnik; arXiv:1602.08538. Published Arnold Math. J., 3 (2017), 197-204.

• Higher Maslov indices, co-authors: R. Casals and F. Presas; arXiv:1602.00571, Published Journal of Geometry and Physics, 115 (2017), 167-177.

• Lusternik-Schnirelmann theory and closed Reeb orbits, co-author: B. Gurel; arXiv:1601.03092. Published Math. Z. 295 (2020), no. 1-2, 515–582

• A remark on unique ergodicity and the contact type condition, co-author: C. Niche; arXiv:1507.03147. Published Archiv der Mathematik, 105 (2015), 585-592.

• Non-contractible periodic orbits in Hamiltonian dynamics on closed symplectic manifolds, co-author: B. Gurel; arXiv:1503.07145, Published Compos. Math., 152 (2016), 1777-1799.

• My contact homology shopping list, Preprint 2014 (not for journal publication), arXiv:1412.7999.

• The Conley conjecture and beyond, co-author: B. Gurel; arXiv:1411.7723. Published Arnold Math J., 1 (2015), 299-337.

• Fragility and persistence of leafwise intersections co-author: B. Gurel; arXiv:1409.7746. Published Math. Z., 280 (2015) 989-1004.

• On the Conley conjecture for Reeb flows, co-author: B. Gurel, L. Macarini; arXiv:1407.1773. Published Internat. J. Math., 26 (2015), 1550047 (22 pages); doi: 10.1142/S0129167X15500470.

• Iterated index and the mean Euler characterstic, co-author: Y. Goren; arXiv:1311.0547. Published: J. Topol. Anal., 7 (2015), 453-481.

• Hyperbolic fixed points and periodic orbits of Hamiltonian diffeomorphisms, co-author: B. Gurel; arXiv:1208.1733. Published Duke Math. J., 163 (2014), 565-590.

• Closed Reeb orbits on the sphere and symplectically degenerate maxima, co-authors: D. Hein, U.L. Hryniewicz, L. Macarini; arXiv:1210.5037. Published: Acta Math. Vietnam., 38 (2013), no. 1, 55-78.

• Action-index relations for perfect Hamiltonian diffeomorphisms, co-authors: M. Chance and B. Gurel; arXiv:1110.6728. Published J. Sympl. Geom., 11 (2013), 449-474.

• Arnold conjecture for Clifford symplectic pencils, co-author: D. Hein; arXiv:1110.0529. Published: Israel J. Math., 196 (2013), no. 1, 95-112.

• Hyperkahler Arnold conjecture and its generalizations, co-author: D. Hein; arXiv:1105.0874. Published: Internat. J. Math., 23 (2012), no. 8, 125077 (15 pages).

• Conley conjecture for negative monotone symplectic manifolds, co-author B. Gurel; arXiv:1011.5018. Published: Int. Math. Res. Notices IMRN, 2011, doi: 10.1093/imrn/rnr081.

• On the Maslov class rigidity for coisotropic submanifolds, arXiv:0910.5037. Published: Pacific J. Math. 250 (2011), 139-161.

• On the generic existence of periodic orbits in Hamiltonian dynamics, co-author: B. Gurel; arXiv:0908.3286. Published: J. Mod. Dyn., 4 (2009), 595-610.

• Homological resonances for Hamiltonian diffeomorphisms and Reeb flows, co-author: E. Kerman; arXiv:0901.4644. Published: Int. Math. Res. Not. IMRN, 2010, no. 1, 53--68.

• Action and index spectra and periodic orbits in Hamiltonian dynamics, co-author: B. Gurel; arXiv:0810.5170. Published: Geom. Topol., 13 (2009), 2745-2805.

• Local Floer homology and the action gap, co-author: B. Gurel; arXiv:0709.4077. Published: J. Sympl. Geom., 8 (2010), 323-357.

• The generalized Weinstein-Moser theorem, co-author: B. Gurel. Published: ERA-MS, 14 (2007), 20-29.

• Periodic orbits of twisted geodesic flows and the Weinstein-Moser theorem, co-author: B. Gurel; arXiv:0705.1818. Published: Comment. Math. Helv., 84 (2009), 865-907.

• The Conley conjecture, Preprint 2006, math.SG/0610956. Published: Ann. of Math., 172 (2010), 1127-1180.

• Coisotropic intersections, math.SG/0605186. Published: Duke Math. J., 140 (2007), 111-163.

• Energy capacity inequalities via an action selector, co-authors: U. Frauenfelder and F. Schlenk; math.DG/0402404. In Geometry, Spectral Theory, and Dynamics; Proceedings in Memory of Robert Brooks, Eds.: M. Entov et al, Contemporary Mathematics, vol. 387, AMS, 2005; pp.129-152.

• The Weinstein conjecture and the theorems of nearby and almost existence, math.DG/0310330. In The Breadth of Symplectic and Poisson Geometry. Festschrift in Honor of Alan Weinstein, Eds.: J.E. Marsden and T.S. Ratiu, Birkhauser, 2005, pp. 139-172.

• Symplectic homology and periodic orbits near symplectic submanifolds, co-authors: K. Cieliebak and E. Kerman; math.DG/0210468. Published: Comment. Math. Helv. 79 (2004), 554-581.

• Existence of relative periodic orbits near relative equilibria, co-author: E. Lerman; math.SG/0402264. Published: Math. Res. Lett., 11 (2004), 397-412.

• Relative Hofer-Zehnder capacity and periodic orbits in twisted cotangent bundles, co-author: B. Gurel; math.DG/0301073. Published: Duke Math. J., 123 (2004), 1-47.

• Comments to some of Arnold's problems (1981-9 and related problems and 1994-13), in Arnold's problems, Ed.: V.I. Arnold, Springer--Verlag and Phasis, 2004; pp. 395--401, 557--558.
  • Motion of a charge in a magnetic field (1981-9 and related problems): DVI, PS, PDF.
  • The Legendrian Seifert conjecture (1994-13): DVI, PS, PDF.

• A C²-smooth counterexample to the Hamiltonian Seifert conjecture in R⁴, co-author: B. Gurel; math.DG/0110047. Published: Ann. of Math. 158 (2003), 953-976.

• On the construction of a C²-counterexample to the Hamiltonian Seifert conjecture in R⁴, co-author: B. Gurel; math.DG/0109153. Published: Electron. Res. Announc. Amer. Math. Soc, 8 (2002), 11-19.

• Periodic orbits of Hamiltonian flows near symplectic extrema, co-author: E. Kerman; math.DG/0011011. Published: Pacific J. Math., 206 (2002), 69-91.

• Grothendieck groups of Poisson vector bundles, math.DG/0009124. J. Sympl. Geom., 1 (2001), 121-169.

• The Hamiltonian Seifert conjecture: examples and open problems, math.DG/0004020. In Proceedings of the Third European Congress of Mathematics, Barcelona, 2000; Birkhauser, Progress in Mathematics, 202 (2001), vol. II, pp. 547-555.

• Holonomy on Poisson manifolds and the modular class, co-author: A. Golubev; math.DG/9812153. Israel J. Math., 122 (2001), 221-242.

• Geometric quantization and no go theorems, co-author: R. Montgomery; math.DG/9703010. Banach Center Publications, 51 (2000), 69-77.

• Assignments and abstract moment maps, co-authors: V. Guillemin and Y. Karshon; math.DG/9904117. Published: J. Differential Geom., 52 (1999), 259-301.

• Equivariant Poisson cohomology and a spectral sequence associated with a moment map, math.DG/9611002. Int. J. Math., 10 (1999), 977-1010.

• Hamiltonian dynamical systems without periodic orbits, math.DG/9811014. In Northern California Symplectic Geometry Seminar; Ed.: Y. Eliashberg et al.; Amer. Math. Soc. Transl., (2) 196 (1999), 35-48.

• Periodic orbits in magnetic fields in dimensions greater than two, co-author: E. Kerman; math.DG/9902148. In Geometry and Topology in Dynamics, Ed.: M. Barge and K. Kuperberg; Publ. of AMS, Cont. Math. Series, 246 (1999), 113-121.

• The relation between compact and non-compact equivariant cobordisms, co-authors: V. Guillemin and Y. Karshon; math.DG/9810101. In Proceedings of the International Workshop on Topology, Ed.: M. Farber, W. Lueck, S. Weinberger; Publ. of AMS, Cont. Math. Series, 231 (1999), 99-112.

• A smooth counterexample to the Hamiltonian Seifert conjecture in R⁶, math.DG/9703006. Int. Math. Res. Not. IMRN, 1997, no. 13, 642-650.

• Cobordism theory and localization formula for Hamiltonian group actions, co-authors: V. Guillemin and Y. Karshon; math.DG/9601003. Int. Math. Res. Not. IMRN, 1996, no. 5, 222-234.

• On the existence and non-existence of closed trajectories for some Hamiltonian flows, Math. Z., 223 (1996), 397-409.

• Momentum mappings and Poisson cohomology, Int. J. Math., 7 (1996), 329-358.

• On closed trajectories of a charge in a magnetic field. An application of symplectic geometry, In Contact and Symplectic Geometry, Ed.: C.B. Thomas, INI Publications, Cambridge University Press, Cambridge, 1996, 131-148.

• An embedding S^2n-1->R²ⁿ, 2n - 1 7, whose Hamiltonian flow has no periodic trajectories, Int. Math. Res. Not. IMRN, 1995, no. 2, 83-98.

• Steady fluid flows and symplectic geometry, co-author: B. Khesin. J. Geom. Phys., 14 (1994), 195-210.

• Calculation of contact and symplectic cobordism groups, Topology, 31 (1992), 767-773.

• Poisson cohomology of Morita equivalent Poisson manifolds, co-author: J. H. Lu. Int. Math. Res. Not. IMRN, 10 (1992), 199-205.

• Review of the book "The topology of torus actions on symplectic manifolds" by M. Audin, Bull. Amer. Math. Soc. (new series), 27 (1992), 315-320.

• Topology of steady fluid flows, co-author: B. Khesin. In Topological Aspects of the Dynamics of Fluids and Plasmas, Ed.: H. K. Moffat et al., 1992, Kluwer Academic Publishers, 265-272.

• Some remarks on symplectic actions of compact groups, Math. Z., 210 (1992), 625-640.

• Lie-Poisson structure on some Poisson Lie groups, co-author: A. Weinstein. J. Amer. Math. Soc. 5 (1992), 445-453.

• On closed characteristics of 2-forms, Ph.D. Thesis, UC Berkeley, 1990.

• Cobordisms of contact and symplectic manifolds, Funct. Anal. Appl., 23 (1989), no. 2, 106-110.

• On closed characteristics of 2-form, Russ. Math. Surveys, 43 (1988), no. 5, 225-226.

• New generalizations of Poincare's geometric theorem, Funct. Anal. Appl., 21 (1987), no. 2, 100-106.

• On the number of inverse images of a point for continuous maps, Russ. Math. Survey, 41 (1986), no. 2, 195-196.