Publications
Papers and
preprints
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 P. Majer, Global
stable
manifolds in holomorphic dynamics under bunching conditions
arXiv:1111.5197v1 [math.DS], 2011.
A. Abbondandolo and S. Matveyev, Middle-dimensional
squeezing
and
non-squeezing behavior of symplectomorphisms
arXiv:1105.2931v1 [math.SG], 2011.
M. Abate, A. Abbondandolo and P. Majer, Stable
manifolds
for
holomorphic
automorphisms arXiv:1104.4561v1 [math.DS], 2011.
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, 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 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
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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