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                                                                               Publications

   Preprints


  A. Abbondandolo and S. Matveyev, How large is the shadow of a symplectic ball?     arXiv:1202.3614v1 [math.SG], 2012.

   A. Abbondandolo and P. Majer, Global stable manifolds in holomorphic dynamics under bunching conditions  arXiv:1111.5197v1 [math.DS], 2011.


    Papers


   M. Abate, A. Abbondandolo and P. Majer, Stable manifolds for holomorphic automorphisms, J. Reine Angew. Math. (to appear), published online on August 2, 2012.

  A. Abbondandolo and M. Schwarz, On product structures in Floer homology of cotangent bundles in "Global differential geometry", Springer Proceedings in Mathematics 17 (2012), 491-521.

  
A. Abbondandolo and M. Schwarz, Floer homology of cotangent bundles and the loop productGeometry & Topology 14 (2010), 1569-1722.

  
A. Abbondandolo and M. Schwarz, Estimates and computations in Rabinowitz-Floer homology, J. Topol. Anal. 1 (2009), 307-405.

   A. Abbondandolo and M. Schwarz, A smooth pseudo-gradient for the Lagrangian action functional,  Adv. Nonlinear Studies,  9 (2009), 597-623.

    A. Abbondandolo and P. Majer, Infinite dimensional Grassmannians, Journal of Operator Theory. 61 (2009), 16-62.
 
   A. Abbondandolo, A. Portaluri, M. Schwarz, The homology of path spaces and Floer homology with conormal boundary conditions, J. fixed point theory appl.  4 (2008), 263-293.
  
   A. Abbondandolo and P. Majer, A Morse complex for Lorentzian geodesics
, Asian Journal of Mathematics 12 (2008), 299-320.

   A. Abbondandolo and A. Figalli, Invariant measures of Hamiltonian systems with prescribed asymptotic Maslov index, J. fixed point theory appl.  3 (2008), 95-120.

   A. Abbondandolo and A. Figalli,  High action orbits for Tonelli Lagrangians and superlinear Hamiltonians on compact configuration spaces, J. Differential Equations 234 (2007), 626-653.

   A. Abbondandolo and P. Majer,   On the global stable manifold, Studia Mathematica  177 (2006), 113-131.

   A. Abbondandolo and M. Schwarz, On the Floer homology of cotangent bundles, Comm. Pure Appl. Math., 59 (2006), 254-316. .
 
   A. Abbondandolo and P. Majer, A Morse complex for infinite dimensional manifolds, Part I, Adv. Math 197 (2005), 321-410.
 
   A. Abbondandolo and P. Majer, When the Morse index is infinite, Internat. Mat. Res. Not. 71 (2004), 3839-3854.

   A. Abbondandolo and P. Majer,
Ordinary differential operators in Hilbert spaces and Fredholm pairs, Math. Z. 243 (2003), 525-562.

    A. Abbondandolo, V. Benci, D. Fortunato and L. Masiello, On the Morse inequalities for geodesics on Lorentzian manifolds, Math. Res. Lett. 10 (2003), 435--445.

    A. Abbondandolo,
On the Morse index of Lagrangian systems, Nonlinear Analysis 53 (2003) 551-566.

   A. Abbondandolo and V. Benci, Solitary waves and Bohmian mechanics, Proc. Nat. Acad. Sci. 99 (2002), 15257-15261.

   A. Abbondandolo and P. Majer, Morse homology on Hilbert spaces, Comm. Pure Appl. Math. 54 (2001), 689-760.

   A. Abbondandolo and J. Molina, Index estimates for strongly indefinite functionals, periodic orbits and homoclinic solutions of first order Hamiltonian systems, Calc. Var. 11 (2000), 395-430.

   A. Abbondandolo, Morse theory for asymptotically linear Hamiltonian systems, Nonlinear Anal. TMA 39 (2000), 997-1049.

   A. Abbondandolo, Subharmonics for two-dimensional Hamiltonian systems, NoDEA Nonlinear Differential Equations Appl. 6 (1999), 341-355.

   A. Abbondandolo, An H-theorem for a class of Markov processes, Stochastic Anal. Appl. 17(1999), 131-136.

   A. Abbondandolo, A new cohomology for the Morse theory of strongly indefinite functionals on Hilbert spaces, Topol. Mathods Nonlinear Anal.
9 (1997), 325-382.

   A. Abbondandolo, On the homotopy type of VMO, Topol. Methods Nonlinear Anal. 7 (1996), 431-436.

   A. Abbondandolo and V. Benci, Rotation numbers for Lagrangian systems and Morse theory, Banach Center Publications
35(1996), 29-38.

   A. Abbondandolo, Un indice medio per misure invarianti rispetto al flusso Lagrangiano, Rend. Mat. Acc. Lincei 5 (1994), 213-221.



   Monographs and lecture notes


    A. Abbondandolo, "Periodic orbits by variational methods", Summer school on Hamiltonian dynamics and symplectic geometry, Korea Institute for Advanced Study, Seoul, July 12-16, 2010. Lecture Notes of the courses given by A. Abbondandolo and G. P. Paternain, notes taken by J. Kang and Y. Bae.

   A. Abbondandolo,  The minimax principle in the calculus of variations, in Encyclopedia of Mathematical Physics, eds. J.-P. Francoise, G. L. Naber, and Tsou S. T., Oxford: Elsevier 2006, volume 3, page 432-439.

   A. Abbondandolo and P. Majer, Lectures on the Morse complex for infinite dimensional manifolds, in "Morse theoretic methods in nonlinear analysis and in symplectic topology", pp. 1-74, NATO Science Series II: Mathematics, Physics and Chemistry, P. Biran, O. Cornea, and F. Lalonde Eds, Springer, 2006.

   A. Abbondandolo and M. Schwarz, Notes on Floer homology and loop space homology, in "Morse theoretic methods in nonlinear analysis and in symplectic topology", pp. 75-108, NATO Science Series II: Mathematics, Physics and Chemistry, P. Biran, O. Cornea, and F. Lalonde Eds, Springer, 2006.

   A. Abbondandolo,  "Morse theory for Hamiltonian systems",  Research Notes in Mathematics, CRC Press, Boca Raton, FL, 2001.

   A. Abbondandolo, "Morse theory for strongly indefinite functionals and Hamiltonian systems", PhD Thesis, Scuola Normale Superiore, Pisa, 1999.


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