-
2
-
-
0002339949
-
Symplectic geometry
-
C. L. Siegel, "Symplectic geometry," Am. J. Math. 65, 1 (1943).
-
(1943)
Am. J. Math.
, vol.65
, pp. 1
-
-
Siegel, C.L.1
-
3
-
-
0001195103
-
Sur une proprie'te' topologique des applications globalement canoniques de la me'canique classique
-
V. I. Arnold, "Sur une proprie'te' topologique des applications globalement canoniques de la me'canique classique," C. R. Acad. Sci. Paris 261, 3719-3722 (1965).
-
(1965)
C. R. Acad. Sci. Paris
, vol.261
, pp. 3719-3722
-
-
Arnold, V.I.1
-
4
-
-
84956247846
-
First steps of symplectic topology
-
V. I. Arnold, "First steps of symplectic topology," Russ. Math. Surveys 41, 1-21 (1986).
-
(1986)
Russ. Math. Surveys
, vol.41
, pp. 1-21
-
-
Arnold, V.I.1
-
5
-
-
0000674428
-
Convex symplectic manifolds
-
Y. Eliashberg and M. Gromov, "Convex symplectic manifolds," Proc. Symp. Pure Math 52, 135-162 (1991); D. McDuff and L. Traynor (unpublished). C. Viterbo, "Symplectic topology as the geometry of generating functions," Math. Ann. 292, 685-710 (1992).
-
(1991)
Proc. Symp. Pure Math
, vol.52
, pp. 135-162
-
-
Eliashberg, Y.1
Gromov, M.2
-
6
-
-
0001597941
-
Symplectic topology as the geometry of generating functions
-
unpublished
-
Y. Eliashberg and M. Gromov, "Convex symplectic manifolds," Proc. Symp. Pure Math 52, 135-162 (1991); D. McDuff and L. Traynor (unpublished). C. Viterbo, "Symplectic topology as the geometry of generating functions," Math. Ann. 292, 685-710 (1992).
-
(1992)
Math. Ann.
, vol.292
, pp. 685-710
-
-
McDuff, D.1
Traynor, L.2
Viterbo, C.3
-
7
-
-
0040804374
-
Pseudo-holomorphic curves in symplectic manifolds
-
M. Gromov, "Pseudo-holomorphic curves in symplectic manifolds," Invent. Math. 82, 307-347 (1985).
-
(1985)
Invent. Math.
, vol.82
, pp. 307-347
-
-
Gromov, M.1
-
8
-
-
85037773608
-
Symplectic packing and algebraic geometry
-
in press
-
D. McDuff and L. Polterovich, "Symplectic packing and algebraic geometry," Invent. Math. (in press).
-
Invent. Math.
-
-
McDuff, D.1
Polterovich, L.2
-
9
-
-
0000488538
-
Symplectic topology and Hamiltonian dynamics, I,II
-
I. Ekeland and H. Hofer, "Symplectic topology and Hamiltonian dynamics, I,II," Math. Z. 200, 355-378 (1989); 203, 553-568 (1990).
-
(1989)
Math. Z.
, vol.200
, pp. 355-378
-
-
Ekeland, I.1
Hofer, H.2
-
10
-
-
51249172746
-
-
I. Ekeland and H. Hofer, "Symplectic topology and Hamiltonian dynamics, I,II," Math. Z. 200, 355-378 (1989); 203, 553-568 (1990).
-
(1990)
Math. Z.
, vol.203
, pp. 553-568
-
-
-
11
-
-
0039514754
-
Symplectic capacities
-
edited by Donaldson and Thomas London Mathematical Society
-
H. Hofer, "Symplectic capacities," in Durham Conference, edited by Donaldson and Thomas (London Mathematical Society, 1992).
-
(1992)
Durham Conference
-
-
Hofer, H.1
-
12
-
-
0002741292
-
The Birkhoff-Lewis fixed point theorem and a conjecture of V. I. Arnold
-
C. Conley and E. Zehnder, "The Birkhoff-Lewis fixed point theorem and a conjecture of V. I. Arnold," Invent. Math. 73, 33-49 (1983).
-
(1983)
Invent. Math.
, vol.73
, pp. 33-49
-
-
Conley, C.1
Zehnder, E.2
-
13
-
-
0009099944
-
Proof of the Arnold conjecture and generalizations to certain Kaehler manifolds
-
A. Floer, "Proof of the Arnold conjecture and generalizations to certain Kaehler manifolds," Duke Math. J. 53, 1-32 (1986).
-
(1986)
Duke Math. J.
, vol.53
, pp. 1-32
-
-
Floer, A.1
-
14
-
-
0010036158
-
A symplectic fixed point theorem for toric manifolds
-
Floer Memorial Volume, Birkhaeuser
-
A. B. Givental, "A symplectic fixed point theorem for toric manifolds," in Progress in Mathematics (Floer Memorial Volume, Birkhaeuser, 1994).
-
(1994)
Progress in Mathematics
-
-
Givental, A.B.1
-
16
-
-
85037775851
-
Sur les piroprie'te's topologiques des projections Lagrangiennes en ge'ometrie symplectique des caustiques
-
14/6/93, 9pp.
-
V. I. Arnold, "Sur les piroprie'te's topologiques des projections Lagrangiennes en ge'ometrie symplectique des caustiques," Cahiers de Mathe'matiques de la decision, CEREMADE, 9320, 14/6/93, 9pp.
-
Cahiers de Mathe'matiques de la Decision, CEREMADE
, vol.9320
-
-
Arnold, V.I.1
-
17
-
-
0039514752
-
On topological properties of Legendre projections in contact geometry of wave fronts
-
V. I. Arnold, "On topological properties of Legendre projections in contact geometry of wave fronts," Algebra i analis (S. Petersburg Math. J.), 6 (1994).
-
(1994)
Algebra i Analis (S. Petersburg Math. J.)
, vol.6
-
-
Arnold, V.I.1
-
18
-
-
0003360567
-
Lectures on symplectic manifolds
-
American Mathematical Society, Providence
-
A. Weinstein, Lectures on Symplectic Manifolds, Reg. Conf. Ser. Math. 29 (American Mathematical Society, Providence, 1997).
-
(1997)
Reg. Conf. Ser. Math.
, vol.29
-
-
Weinstein, A.1
-
19
-
-
0001799504
-
Symplectic geometry
-
Springer, New York
-
V. I. Arnold and A. B. Givental, "Symplectic geometry," Encyclopedia of Math. Sciences, Dynamical Systems 4 (Springer, New York, 1990), pp. 4-136.
-
(1990)
Encyclopedia of Math. Sciences, Dynamical Systems
, vol.4
, pp. 4-136
-
-
Arnold, V.I.1
Givental, A.B.2
-
20
-
-
0010930714
-
On one problem of Liouville, concerning integrable problems of dynamics
-
V. I. Arnold, "On one problem of Liouville, concerning integrable problems of dynamics," Siberian Math. J. 4, 471-474 (1963).
-
(1963)
Siberian Math. J.
, vol.4
, pp. 471-474
-
-
Arnold, V.I.1
-
21
-
-
0039870884
-
k and Lagrangian singularities
-
k and Lagrangian singularities," Funct. Anal. Appl. 6, 254-272 (1972).
-
(1972)
Funct. Anal. Appl.
, vol.6
, pp. 254-272
-
-
Arnold, V.I.1
-
23
-
-
0000986417
-
Dual polyhedra and mirror symmetry for Calabi-Yau hypersurfaces in toric varieties
-
V. Batyrev, "Dual polyhedra and mirror symmetry for Calabi-Yau hypersurfaces in toric varieties," J. Alg. Geom. 3, (1994).
-
(1994)
J. Alg. Geom.
, vol.3
-
-
Batyrev, V.1
-
25
-
-
0039248747
-
Singular Lagrange varieties and their Lagrange mappings
-
A. B. Givental, "Singular Lagrange varieties and their Lagrange mappings," in Itogi Nauki VINITI 33, 55-112 (1988), Transl. J. Sov. Math. 52, 3246-3278 (1990).
-
(1988)
Itogi Nauki VINITI
, vol.33
, pp. 55-112
-
-
Givental, A.B.1
-
26
-
-
0000372016
-
-
A. B. Givental, "Singular Lagrange varieties and their Lagrange mappings," in Itogi Nauki VINITI 33, 55-112 (1988), Transl. J. Sov. Math. 52, 3246-3278 (1990).
-
(1990)
J. Sov. Math.
, vol.52
, pp. 3246-3278
-
-
-
27
-
-
84956247835
-
Wave fronts and reflection groups
-
O. P. Scherbak, "Wave fronts and reflection groups," Russian Math. Surveys 43, 149-194 (1988).
-
(1988)
Russian Math. Surveys
, vol.43
, pp. 149-194
-
-
Scherbak, O.P.1
-
28
-
-
0040264900
-
Legandrova teorija morsa
-
Uspekhi are in general translated as Russian Math. Surveys, but some papers contain something new and hence are not translated
-
Yu. V. Chekanov, "Legandrova teorija Morsa," Usp. Mat. Nauk 42, 139-141 (1987) (Uspekhi are in general translated as Russian Math. Surveys, but some papers contain something new and hence are not translated!). F. Lauenbach and J.-C. Sikorav, "Persistence d'interrsections avec la section neue au course d'une isotopie hamiltonienne dans un fibre' cotangent," Invent. Math. 82, 349-358 (1985).
-
(1987)
Usp. Mat. Nauk
, vol.42
, pp. 139-141
-
-
Chekanov, Yu.V.1
-
29
-
-
0001362792
-
Persistence d'interrsections avec la section neue au course d'une isotopie hamiltonienne dans un fibre' cotangent
-
Yu. V. Chekanov, "Legandrova teorija Morsa," Usp. Mat. Nauk 42, 139-141 (1987) (Uspekhi are in general translated as Russian Math. Surveys, but some papers contain something new and hence are not translated!). F. Lauenbach and J.-C. Sikorav, "Persistence d'interrsections avec la section neue au course d'une isotopie hamiltonienne dans un fibre' cotangent," Invent. Math. 82, 349-358 (1985).
-
(1985)
Invent. Math.
, vol.82
, pp. 349-358
-
-
Lauenbach, F.1
Sikorav, J.-C.2
-
30
-
-
0040699992
-
Critical points of indefinite functionals and periodic solutions of differential equations
-
Acad. Sci. Fennica, Helsinki
-
P. Rabinowitz, "Critical points of indefinite functionals and periodic solutions of differential equations," in Proceedings of the International Congress of Mathematicians, Helsinki 1978 (Acad. Sci. Fennica, Helsinki, 1980), pp. 791-796.
-
(1980)
Proceedings of the International Congress of Mathematicians, Helsinki 1978
, pp. 791-796
-
-
Rabinowitz, P.1
-
31
-
-
1542555328
-
An instanton invariant for 3-manifolds
-
A. Floer, "An instanton invariant for 3-manifolds," Commun. Math. Phys. 118, 215-240 (1988).
-
(1988)
Commun. Math. Phys.
, vol.118
, pp. 215-240
-
-
Floer, A.1
-
32
-
-
85037760081
-
New invariants of 3-and 4-manifolds
-
Durham, N.C.
-
M. Atiyah, "New invariants of 3-and 4-manifolds," in The mathematical heritage of Hermann Weyl, Durham, N.C., 1987. Sympos. Pure Math., 48 (American Mathematical Society, Providence, RI, 1988), pp. 285-289.
-
(1987)
The Mathematical Heritage of Hermann Weyl
-
-
Atiyah, M.1
-
33
-
-
0001502193
-
-
American Mathematical Society, Providence, RI
-
M. Atiyah, "New invariants of 3-and 4-manifolds," in The mathematical heritage of Hermann Weyl, Durham, N.C., 1987. Sympos. Pure Math., 48 (American Mathematical Society, Providence, RI, 1988), pp. 285-289.
-
(1988)
Sympos. Pure Math.
, vol.48
, pp. 285-289
-
-
-
34
-
-
51249175292
-
Casson invariant of links of singularities
-
W. Newmann and J. Wahl, "Casson invariant of links of singularities," Comment. Math. Helv. 65, 58-78 (1990).
-
(1990)
Comment. Math. Helv.
, vol.65
, pp. 58-78
-
-
Newmann, W.1
Wahl, J.2
-
35
-
-
33646925958
-
On the characteristic class entering in quantization conditions
-
V. I. Arnold, "On the characteristic class entering in quantization conditions," Funct. Anal. Appl. 1, 1-14 (1967).
-
(1967)
Funct. Anal. Appl.
, vol.1
, pp. 1-14
-
-
Arnold, V.I.1
-
36
-
-
0003568924
-
-
thesis, Moscow State Univ., 1965 Dunod, Paris
-
V. P. Maslov, The'orie des perturbations et me'thodes asymptotiques, thesis, Moscow State Univ., 1965 (Dunod, Paris, 1972).
-
(1972)
The'orie des Perturbations et Me'thodes Asymptotiques
-
-
Maslov, V.P.1
-
37
-
-
17744365686
-
Richerche sulla convergenza della serie che serve alla soluzione del problema di keplero
-
30, 197-254
-
F. Carlini, "Richerche sulla convergenza della serie che serve alla soluzione del Problema di Keplero," Milano 1817; Schumacher Astronomische Nachrichten 28, 257-270; 30, 197-254.
-
Milano 1817; Schumacher Astronomische Nachrichten
, vol.28
, pp. 257-270
-
-
Carlini, F.1
-
39
-
-
26844488520
-
Cobordisms d'immersions lagrangiennes et legendriennes
-
Hermann
-
M. Audin, "Cobordisms d'immersions Lagrangiennes et Legendriennes," Traveaux en Cours, 20 (Hermann, 1987).
-
(1987)
Traveaux en Cours
, vol.20
-
-
Audin, M.1
-
40
-
-
0002068030
-
Lagrangian imbeddings of surfaces and the open Whitney umbrella
-
A. B. Givental, "Lagrangian imbeddings of surfaces and the open Whitney umbrella," Funct. Anal. Appl. 20, 35-41 (1986).
-
(1986)
Funct. Anal. Appl.
, vol.20
, pp. 35-41
-
-
Givental, A.B.1
-
42
-
-
0002519851
-
Entrelacements et equations de Pfaff
-
D. Bennequin, "Entrelacements et equations de Pfaff," Aste'risque 107-108, 83-161 (1983).
-
(1983)
Aste'risque
, vol.107-108
, pp. 83-161
-
-
Bennequin, D.1
-
43
-
-
0000432674
-
Legendrian and transversal knots in tight contact 3-manifolds
-
J. Milnor's 60th birthday volume Publish or Perish, Houston
-
Y. Eliashberg, "Legendrian and transversal knots in tight contact 3-manifolds," Topological Methods in Modern Mathematics, J. Milnor's 60th birthday volume (Publish or Perish, Houston, 1993), pp. 171-193.
-
(1993)
Topological Methods in Modern Mathematics
, pp. 171-193
-
-
Eliashberg, Y.1
-
45
-
-
0001488006
-
Some global properties of contact structures
-
J. W. Gray, "Some global properties of contact structures," Ann. Math. 2, 421-450 (1959).
-
(1959)
Ann. Math.
, vol.2
, pp. 421-450
-
-
Gray, J.W.1
-
46
-
-
0000282406
-
Formes de contact sur les varie'te's de dimension 3
-
J. Martinet, "Formes de contact sur les varie'te's de dimension 3," Lecture Notes in Mathematics, 209, 142-163 (1971).
-
(1971)
Lecture Notes in Mathematics
, vol.209
, pp. 142-163
-
-
Martinet, J.1
-
47
-
-
0000102087
-
Contact 3-manifolds twenty years since J. Martinet's work
-
Y. Eliashberg, "Contact 3-manifolds twenty years since J. Martinet's work," Annales de l'Inst. Fourier 42, 165-192 (1992).
-
(1992)
Annales de l'Inst. Fourier
, vol.42
, pp. 165-192
-
-
Eliashberg, Y.1
-
48
-
-
0009369448
-
Calculation of contact and symplectic cobordism groups
-
V. L. Ginzburg, "Calculation of contact and symplectic cobordism groups," Topology 31, 757-762 (1992).
-
(1992)
Topology
, vol.31
, pp. 757-762
-
-
Ginzburg, V.L.1
-
49
-
-
84968468807
-
A symplectic fixed point theorem for complex projective spaces
-
B. Fortune and A. Weinstein, "A symplectic fixed point theorem for complex projective spaces," Bull. Am. Math. Soc. 12, 128-130 (1985).
-
(1985)
Bull. Am. Math. Soc.
, vol.12
, pp. 128-130
-
-
Fortune, B.1
Weinstein, A.2
-
50
-
-
0002974996
-
Nonlinear generalization of the maslov index
-
Singularity Theory and its Applications, edited by V. I. Arnold, American Mathematical Society, Providence, RI
-
A. B. Givental, "Nonlinear generalization of the Maslov index," Singularity Theory and its Applications, edited by V. I. Arnold, Adv. Sov. Math. 1 (American Mathematical Society, Providence, RI, 1990), pp. 71-103.
-
(1990)
Adv. Sov. Math.
, vol.1
, pp. 71-103
-
-
Givental, A.B.1
|