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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 product, Geometry
& 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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