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 links to the PostScript, PDF, DVI, and source files 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. Download:
  • Postscript file of the entire book, 4.7M.
  • PDF file of the entire book, 2.1M.
  The PDF file of the book and chapter-by-chapter downloading are available at Yael Karshon's web page.

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• Local Floer Homology and the Action Gap, co-author: B. Gurel; Preprint 2007, arXiv:0709.4077.

• 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; Preprint 2007, arXiv:0705.1818. To appear in Comment. Math. Helv.

• The Conley conjecture, Preprint 2006, math.SG/0610956.

• Coisotropic intersections, math.SG/0605186. Published: Duke Mathematical 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. Research Letters 11 (2004), 397-412.

• Relative Hofer-Zehnder capacity and periodic orbits in twisted cotangent bundles, co-author: B. Gurel; math.DG/0301073. Published: Duke Mathematical 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. Symplectic Geometry, 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 Journal of Mathematics, 122 (2001), 221-242.

• Geometric quantization and no go theorems, co-author: R. Montgomery; math.DG/9703110. 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 Geometry., 52 (1999), 259-301.

• Equivariant Poisson cohomology and a spectral sequence associated with a moment map, math.DG/9611102. 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/9703106. IMRN, 1997, no. 13, 642-650.

• Cobordism theory and localization formula for Hamiltonian group actions, co-authors: V. Guillemin and Y. Karshon; math.DG/9601103. 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, IMRN, 1995, no. 2, 83-98.

• Steady fluid flows and symplectic geometry, co-author: B. Khesin. J. Geometry and Physics, 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. 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.