| 1 |
A Abbondandolo, P
Majer, Lectures on the
Morse complex for infinite-dimensional manifolds, from:
"Morse theoretic methods in nonlinear analysis and in
symplectic topology" (editors P Biran, O Cornea, F Lalonde),
NATO Sci. Ser. II Math. Phys. Chem. 217, Springer (2006)
1–74 MR2276948 |
| 2 |
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 MR2465553 |
| 3 |
A Abbondandolo, M
Schwarz, Notes on Floer
homology and loop space homology, from: "Morse
theoretic methods in nonlinear analysis and in symplectic
topology" (editors P Biran, O Cornea, F Lalonde), NATO Sci.
Ser. II Math. Phys. Chem. 217, Springer (2006) 75–108
MR2276949 |
| 4 |
A Abbondandolo, M
Schwarz, On the Floer homology of
cotangent bundles, Comm. Pure Appl. Math. 59 (2006)
254–316 MR2190223 |
| 5 |
A Abbondandolo, M
Schwarz,
A smooth pseudo-gradient for the Lagrangian action
functional, Adv. Nonlinear Stud. 9 (2009) 597–623
MR2560122 |
| 6 |
N A Baas,
R L Cohen, A Ramírez, The topology
of the category of open and closed strings, from: "Recent
developments in algebraic topology" (editors A Ádem, J
González, G Pastor), Contemp. Math. 407, Amer. Math. Soc.
(2006) 11–26 MR2248970 |
| 7 |
M Betz, R L
Cohen, Graph moduli spaces and cohomology
operations, Turkish J. Math. 18 (1994) 23–41 MR1270436 |
| 8 |
K c Chang,
Infinite-dimensional Morse theory and multiple solution
problems, Progress in Nonlinear Differential Equations and
their Applications 6, Birkhäuser (1993) MR1196690 |
| 9 |
M Chas, D
Sullivan, String topology arXiv:math/9911159 |
| 10 |
M Chas, D
Sullivan, Closed string operators in topology leading to
Lie bialgebras and higher string algebra, from: "The legacy
of Niels Henrik Abel", Springer (2004) 771–784 MR2077595 |
| 11 |
K Cieliebak, T
Ekholm, J Latschev, Compactness for holomorphic
curves with switching Lagrangian boundary conditions, to
appear in J. Symplectic Geom. arXiv:0903.2200 |
| 12 |
K Cieliebak, J
Latschev, The role of string topology in symplectic
field theory, from: "New perspectives and challenges in
symplectic field theory" (editors M Abreu, F Lalonde, L
Polterovich), CRM Proc. Lecture Notes 49, Amer. Math. Soc.
(2009) 113–146 MR2555935 |
| 13 |
R L Cohen,
Morse
theory, graphs, and string topology, from: "Morse
theoretic methods in nonlinear analysis and in symplectic
topology" (editors P Biran, O Cornea, F Lalonde), NATO Sci.
Ser. II Math. Phys. Chem. 217, Springer (2006) 149–184
MR2276951 |
| 14 |
R L Cohen, K
Hess, A A Voronov, String topology and
cyclic homology, Advanced Courses in Math. CRM Barcelona,
Birkhäuser Verlag (2006) MR2251006
Lectures from the Summer School held in Almería, September
16–20, 2003 |
| 15 |
R L Cohen,
J D S Jones, A homotopy
theoretic realization of string topology, Math. Ann.
324 (2002) 773–798 MR1942249 |
| 16 |
R L Cohen,
J D S Jones, J Yan, The loop
homology algebra of spheres and projective spaces, from:
"Categorical decomposition techniques in algebraic topology
(Isle of Skye, 2001)" (editors G Arone, J Hubbuck, R Levi, M
Weiss), Progr. Math. 215, Birkhäuser (2004) 77–92
MR2039760 |
| 17 |
R L Cohen,
J R Klein, D Sullivan, The homotopy
invariance of the string topology loop product and string
bracket, J. Topol. 1 (2008) 391–408 MR2399136 |
| 18 |
R L Cohen, M
Schwarz, A Morse theoretic description of string
topology, from: "New perspectives and challenges in
symplectic field theory" (editors M Abreu, F Lalonde, L
Polterovich), CRM Proc. Lecture Notes 49, Amer. Math. Soc.
(2009) 147–172 MR2555936 |
| 19 |
T tom Dieck,
K H Kamps, D Puppe, Homotopietheorie,
Lecture Notes in Math. 157, Springer (1970) MR0407833 |
| 20 |
J J Duistermaat,
On
the Morse index in variational calculus, Advances in
Math. 21 (1976) 173–195 MR0649277 |
| 21 |
A Floer, A relative Morse
index for the symplectic action, Comm. Pure Appl. Math.
41 (1988) 393–407 MR933228 |
| 22 |
A Floer, The unregularized
gradient flow of the symplectic action, Comm. Pure
Appl. Math. 41 (1988) 775–813 MR948771 |
| 23 |
A Floer, Symplectic
fixed points and holomorphic spheres, Comm. Math. Phys.
120 (1989) 575–611 MR987770 |
| 24 |
A Floer, Witten's
complex and infinite-dimensional Morse theory, J.
Differential Geom. 30 (1989) 207–221 MR1001276 |
| 25 |
A Floer, H
Hofer, Coherent orientations
for periodic orbit problems in symplectic geometry,
Math. Z. 212 (1993) 13–38 MR1200162 |
| 26 |
A Floer, H
Hofer, D Salamon, Transversality
in elliptic Morse theory for the symplectic action,
Duke Math. J. 80 (1995) 251–292 MR1360618 |
| 27 |
K Fukaya, Morse
homotopy, A∞–category, and Floer
homologies, from: "Proceedings of GARC Workshop on Geometry
and Topology `93" (editor H J Kim), Lecture Notes Ser. 18,
Seoul Nat. Univ. (1993) 1–102 MR1270931 |
| 28 |
K Fukaya, Morse
homotopy and its quantization, from: "Geometric topology
(Athens, GA, 1993)" (editor W H Kazez), AMS/IP Stud. Adv.
Math. 2, Amer. Math. Soc. (1997) 409–440 MR1470740 |
| 29 |
K Fukaya, Y G
Oh, H Ohta, K Ono, Lagrangian intersection
Floer theory: anomaly and obstruction. Parts I–II,
AMS/IP Studies in Adv. Math. 46, Amer. Math. Soc. (2009)
MR2553465 |
| 30 |
K Fukaya, K
Ono, Arnold
conjecture and Gromov–Witten invariant, Topology
38 (1999) 933–1048 MR1688434 |
| 31 |
H Hofer, D A
Salamon, Floer homology and Novikov rings, from:
"The Floer memorial volume" (editors H Hofer, C H Taubes,
A Weinstein, E Zehnder), Progr. Math. 133, Birkhäuser
(1995) 483–524 MR1362838 |
| 32 |
H Hofer, E
Zehnder, Symplectic invariants and Hamiltonian
dynamics, Birkhäuser Adv. Texts, Birkhäuser
Verlag (1994) MR1306732 |
| 33 |
L Hörmander,
Fourier
integral operators. I, Acta Math. 127 (1971)
79–183 MR0388463 |
| 34 |
S Ivashkovich, V
Shevchishin, Reflection
principle and J–complex curves with boundary on totally
real immersions, Commun. Contemp. Math. 4 (2002)
65–106 MR1890078 |
| 35 |
S Lang,
Fundamentals of differential geometry, Graduate Texts in
Math. 191, Springer (1999) MR1666820 |
| 36 |
G Liu, G Tian,
Floer
homology and Arnold conjecture, J. Differential Geom.
49 (1998) 1–74 MR1642105 |
| 37 |
G Liu, G Tian,
On the
equivalence of multiplicative structures in Floer homology and
quantum homology, Acta Math. Sin. (Engl. Ser.) 15
(1999) 53–80 MR1701133 |
| 38 |
D McDuff, D
Salamon, J–holomorphic curves and symplectic
topology, Amer. Math. Soc. Coll. Publ. 52, Amer. Math. Soc.
(2004) MR2045629 |
| 39 |
S Piunikhin, D
Salamon, M Schwarz, Symplectic
Floer–Donaldson theory and quantum cohomology, from:
"Contact and symplectic geometry (Cambridge, 1994)" (editor
C B Thomas), Publ. Newton Inst. 8, Cambridge Univ. Press
(1996) 171–200 MR1432464 |
| 40 |
D Quillen,
Determinants of Cauchy–Riemann operators on Riemann
surfaces, Funktsional. Anal. i Prilozhen. 19 (1985)
37–41, 96 MR783704 |
| 41 |
A Ramírez,
Open-closed string topology via fat graphs arXiv:math/0606512 |
| 42 |
J Robbin, D
Salamon, The Maslov
index for paths, Topology 32 (1993) 827–844
MR1241874 |
| 43 |
J Robbin, D
Salamon, The spectral flow and
the Maslov index, Bull. London Math. Soc. 27 (1995)
1–33 MR1331677 |
| 44 |
D A Salamon, J
Weber, Floer homology
and the heat flow, Geom. Funct. Anal. 16 (2006)
1050–1138 MR2276534 |
| 45 |
M Schwarz, Morse
homology, Progress in Math. 111, Birkhäuser Verlag
(1993) MR1239174 |
| 46 |
M Schwarz, Cohomology
operations from S¹–cobordisms in Floer
homology, PhD thesis, Swiss Federal Inst. of
Techn. Zürich (1995) |
| 47 |
P Seidel, A biased
view of symplectic cohomology, from: "Current developments
in mathematics, 2006" (editors D Jenison, B Mazur, T Mrowka, W
Schmid, R Stanley, S T Yau), Int. Press (2008)
211–253 MR2459307 |
| 48 |
S Smale, An infinite dimensional
version of Sard's theorem, Amer. J. Math. 87 (1965)
861–866 MR0185604 |
| 49 |
D Sullivan,
Open
and closed string field theory interpreted in classical
algebraic topology, from: "Topology, geometry and
quantum field theory" (editor U Tillmann), London Math. Soc.
Lecture Note Ser. 308, Cambridge Univ. Press (2004)
344–357 MR2079379 |
| 50 |
D Sullivan, String
topology background and present state, from: "Current
developments in mathematics, 2005" (editors D Jenison, B Mazur,
T Mrowka, W Schmid, R Stanley, S T Yau), Int. Press (2007)
41–88 MR2459297 |
| 51 |
C Viterbo, The
cup-product on the Thom–Smale–Witten complex, and
Floer cohomology, from: "The Floer memorial volume"
(editors H Hofer, C H Taubes, A Weinstein, E Zehnder),
Progr. Math. 133, Birkhäuser (1995) 609–625 MR1362844 |
| 52 |
C Viterbo,
Functors and computations in Floer homology with
applications II, Preprint (2003) |
| 53 |
J Weber, Perturbed closed
geodesics are periodic orbits: index and
transversality, Math. Z. 241 (2002) 45–82
MR1930985 |
| 54 |
J Weber, Three
approaches towards Floer homology of cotangent bundles,
J. Symplectic Geom. 3 (2005) 671–701 MR2235858
Conference on Symplectic Topology |
| 55 |
K Wehrheim,
C T Woodward, Floer cohomology and geometric
composition of Lagrangian correspondences arXiv:0905.1368 |
| 56 |
K Wehrheim,
C T Woodward, Functoriality for Lagrangian
correspondences in Floer theory, to appear in Quantum
Topol. arXiv:0708.2851 |
| 57 |
K Wehrheim,
C T Woodward, Pseudoholomorphic quilts
arXiv:0905.1369 |
| 58 |
K Wehrheim,
C T Woodward, Quilted Floer
cohomology, Geom. Topol. 14 (2010) 833–902
MR2602853 |
