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Авторизация |
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Поиск по указателям |
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Audin M. — Torus Actions on Symplectic Manifolds |
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Предметный указатель |
Meridian 21
Merindol, Jean-Yves 2
Milnor join 178
Milnor, John 109 177 178 182 212
Mineur, Henri 90
Moduli space 148 212
Moebius strip 20 25
Molino, Pierre 2
Momentum mapping 73 93
Momentum mapping, canonical 75
monodromy 150
Morse function 112
Morse function on the complex projective space 107 110
Morse lemma 108
Morse theory 3 7 105
Morse — Bott function 108
Morse, Marston 3 108
Moser path method 48
Moser, Jurgen 48
Negative normal bundle 109
Nijenhuis tensor 65
Noether theorem 79
Noether, Emmy 79
Numerable bundle 178
Numerable covering 178
Numerical image 5
Orbifold 25 85 101
Orbifold symplectic 85
Orbit 10
Orbit mapping 10
Orbit method 3
Orbit space 13
Orbit type 10 16
Orbit, exceptional 18 20
Orbit, principal 17 18 20
Orbit, singular 18 20
Orthogonal group 11 32
Oscillator, harmonic 103
Pair of pants 164
Pantalon 164
Path method of Moser 48
Pendulum, simple 88 90 93
Pendulum, spherical 103
Period lattice 91
Periodic Hamiltonian 79
Permutahedron 6 118 143
Pfaffian 42
Plumbing 300 308
Poincare lemma 49
Poisson bracket 59 60 73
Poisson manifold 60
Poisson mapping 73
Poisson structure 60 86
Poisson structure on the moduli space 155
Poisson structure on the space of quadratic forms 67
Poisson submanifold 62
Prato, Elisa 2 85
Primitive polyhedron 122 233 244
Principal action 17 38
Principal bundle 21 170
Principal orbit 17 18 20
Problem of Toeplitz and Hausdorff 5 105 113
Procesi, Claudio 193
Projective completion 18
Projective line 23
Projective plane 18 38
Projective space 37 51
Projective space, weighted 102 268
Racaniere, Sebastien 2
Raymond, Franck 21
Real structure 68
Reconstruction 110
Reduced symplectic form 83—85 186 191 258
Reduction in stages 100
Reduction, symplectic 83
Reeb, Georges 279
Reyman, Alexei 2
Riemannian metric 15
Riemannian volume 58
Rinkel, Jean-Marc 2
Rubenthaler, Hubert 2
Sabbah, Claude 3
Satake 85
Schur — Horn theorem 6 105 117
Schur, Issaie 6
Seifert fibration 25 32
Seifert invariants 26 27 29 30 39
Seifert manifold 7 8 18 24 25 30 80 85 86 273 308
Seifert, Horst 21
Semi-free action 13 38
Semi-simple group 41 75
Sevennec, Bruno 2 54
Simple group 12
simple pendulum 88 90 93
Simple polyhedron 122
Simplicial cone 233
Singular orbit 18 20
Singularity 25
Skeleton of a fan 229
Skew-Hermitian matrix 39
Skew-symmetric matrix 40
Slice theorem 14 15 20
Slupinski, Marcus 2
Smooth fan 233
SO(2,1)-orbit 40
SO(3)-orbit 40
| SO(4)-orbit 41
SO(N) 33
Souriau, Jean-Marie 60 72
Space of affine lines 64
Space, homogeneous 35
Special orthogonal group 33
Special unitary group 41
Sphere 18 47
Spherical pendulum 103
Spielberg, Holger 2
Stabilizer 10
Stationary phase 209
Sternberg, Shlomo 193 201
Stiefel manifold 183 184
Stokes formula 28 46
Structure, almost complex 53
Structure, complex 53
Structure, real 68
SU(2)-manifold 80 99 131 139 144 146 271
Support of a fan 229
Support of a module 201
Symplectic -actions on surfaces 97
Symplectic basis 44 65
Symplectic blow down 288
Symplectic blow up 103 223
Symplectic cut 103 139
Symplectic foliation 62 87
Symplectic form 45
Symplectic form on 62
Symplectic form on 64
Symplectic form on 52
Symplectic form on a cotangent 46
Symplectic form on a Grassmannian 100
Symplectic form on a U(n)-orbit 52
Symplectic form on coadjoint orbits 62
Symplectic form on the complex projective space 84
Symplectic form on the moduli space 155
Symplectic form on the set of affine lines 64
Symplectic form on the sphere 47 64
Symplectic form on the torus 47
Symplectic form, reduced 83—85 186 191 258
Symplectic gradient 58
Symplectic group 45 62 64
Symplectic leaf 62 155 159
Symplectic Lie algebra 45
Symplectic manifold 43 46
Symplectic measure 209
Symplectic normal bundle 49 64
Symplectic orbifold 85 101
Symplectic reduction 83 84 100 102
Symplectic teardrop 101
Symplectic vector space 43
Symplectic volume 47 58 209
Tangent cone 227
Tangent map to the momentum mapping 78
Teardrop 101
Theorem of Arnold and Liouville 71 88 89
Theorem of Cartan 35
Theorem of convexity of Atiyah and Guillemin — Sternberg 7 105 113
Theorem of Darboux 48 102 118 119 194
Theorem of Delzant 2 105 122 123 225
Theorem of Duistermaat and Heckman 1 7 177 192 199 208 258 273 297
Theorem of fibration of Ehresmann 91 123
Theorem of Frankel 105 109
Theorem of Kushnirenko 105
Theorem of Noether 79
Theorem of Schur and Horn 105 117
Thom class 213 217
Thom Isomorphism 213 215
Thom, Rene 3 213
Toeplitz — Hausdorff problem 5 105 113
Toeplitz, Otto 5 113
Tolman, Suzan 2 85
Toric manifold 225 234
Toric variety 225
Torus 11 18 33 47 74
Torus of Liouville 89
Torus, big 239
Torus, compact 32
Torus, complex 32
Torus, maximal 61
Transitive action 13
Trinion 164 166
Trivial action 12
Trivial connection 148
Tubular neighborhood 14
TYPE 10 16
U(n)-orbit 38 43 50 56
Unitary basis 44
Unitary group 11 12 32 39
Universal bundle 178
V-manifold 25 85
Vanhaecke, Pol 2
Vector field, fundamental 10
Vector field, Hamiltonian 58
Vector field, locally Hamiltonian 58
Vector space, symplectic 43
Vergne, Michele 7 177
Verlinde formula 170
Very ample line bundle 252
Wall crossing formula 201 274
Weight 119
Weighted projective space 102 268
Weinstein, Alan 48 60 85
Weitsman, Jonathan 2 164 169
Wurzbacher, Tilmann 2
Zeugma 107
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