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| Ward R.S., Wells R.O. — Twistor geometry and field theory |
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| Предметный указатель |
 -plane 25 32 35 314 372 434
 -plane 25 32 35
 -graded ring 474 475
-grading 474
 -space 294
 -valued one-form 140 141 144 264 276
't Hooft solutions 420 421
't Hooft, G. 283
Abstract de Rham theorem 182 232 327 328
Abstract index notation 115 118 121 241 287 310 317
Abstract indices 121 129 242 247
Action principle 241 252 253
Acyclic differential sheaves 232 233
ADHM construction 372 410 421 422 430
ADHMN construction 431
Adjoint representation 89 264 265 267 280 423
Adler, M. 432
Affine coordinate system 57 59 190 320
Affine Euclidean space 66
Affine Minkowski space 22 66 301
Affine spaces 46
Affine super Minkowski space 482
Affine transformations 51 52
Ahlfors, L.V. 150
ALE metrics 457
ALE spaces 295 297
ALF spaces 295
Algebra 72 80
Algebraic curve 432
Algebraic geometry 2 23 84 166 410 473 476 478
Algebraic topology 2 149 150 153 157 166
Almost complex structure 14 121 124 388 389 445 446
Almost complex tensor 102 114
Ambitwistor space 24 433 459 460
Analytic pullback 304
Analytic space 478
Analytic subvariety 477 478
Ansatz solutions 278
Anti-self-dual conformal curvature 443 447 451
Anti-self-dual connection 389 406 422 466
Anti-self-dual curvature 373
Anti-self-dual Einstein metric 294 442 443 445 456 457
Anti-self-dual Einstein space 295 451
Anti-self-dual fields 274 302 371 372 386 398 410 444
Anti-self-dual gauge potential 394 420
Anti-self-dual instantons 275 295 410 413 414
Anti-self-dual Maxwell field 338 382 383 422 456
Anti-self-dual part 257 266 273 287 293 294 312
Anti-self-dual pp-wave 456
Anti-self-dual space-time 293 295 433 434 444—446 448 449 455
Anti-self-dual two-form 273 276 312 347 373
Anti-self-dual vacuum space 294 295 296 439 450
Anti-self-dual Weyl spinor 454
Anti-self-dual Weyl tensor 295
Anti-self-dual Yang — Mills equations 371 378
Anti-self-duality 373 396 397
Anti-self-duality equation 266 380 398 423 429
Anti-selfrdual gauge field 374 380 386 389 390 393 395—397 403 404 407 409 418 423 443
Antiholomorphic involution 387 412 428 445
Antipodal map 391
Associated graded module 224
Associated principal bundle 144
Associative algebra 136
Asymptotically Euclidean 294
Asymptotically flat space-times 294
Asymptotically locally Euclidean (ALE) 294 296 457
Asymptotically locally flat (ALF) 294
Athorne, C. 409 430
Atiyah — Drinfeld — Hitchin — Manin (ADHM) construction 372 410 421 422 430
Atiyah — Hitchin — Singer theorem 410
Atiyah — Singer index theorem 275
Atiyah, M.F. 86 209 275—277 353 371 389—391 404 410 413 415 417 421 422 445 446
Axial current 467
Axially-symmetric solution 424 425
Bagger 473
Bailey, T.N. 366 367 370 422
Barth — Horrocks monad construction 484
Barth, W. 415 417
Base space 70 195 197 276
Batchelor, M. 480
Bateman, H. 47 349
Beem, J.K. 122
Belavin, A.A. 276 278
Berezin, F.A. 460 473
Bernard, C.W. 276
Betti number 150 151 157 161 162 165 204 228 328
Betti, E. 148 150
Bianchi identity 137 201 266 269 283 287 292 454
Bicomplex module 220
Bigraded module 220
Bjorken, J.D. 253
Blanchard, A. 449
Bochner, S. 54 55 192
Bockstein mapping 181
Bogomolny equations 283 284 422 428 429 431 432
Bott, R. 209
Boundary value 301 355—359 363 364 367 368
Bounded holomorphic functions 172 174 175
Bourguignon, J.P. 274 275
Bowman, M.C. 431
Boyer, C.P. 294 473
Bredon, G.E. 166 176 182
Brown, L. 276
Brown, S.A. 431
Brownian motion 270
Bryant, R.L. 449
Buchdahl, N.P. 331 468
Bundle automorphism 269
Bundle mapping 70
Burzlaff, J. 409
Canonical connection 46
Canonical line bundle 124 309 442
Canonical resolution 229 230 234
Canonical Riemannian connection 274
Canonical transformation 452
Carlitz, R. 276
Cartan's Lemma 28
Cartan, E. 2 37 125
Cartan, H. 2 166
Cauchy integral formula 55 109 189 342
Cauchy theorem 158 351
Cauchy — Riemann equation 7 101 107 113 360
Cauchy — Riemann operator 107
Cauchy's integral formula 384
Cayley transform 62
Cech cohomology 178 230 326
Cech covering 153 302 326 359
Cech theory 176 182
Cell complex 62
Cell decomposition 153 263
CF'tHW ansatz 424
Characteristic class 3 123 148 197- 199 205 214 462
Cheng, T.P. 285
Chern class 199—203 205 217 218 280 283 399 411 415 417
Chern form 192 202 207
Chern number 273 278 280 399 410
Chern, S.S. 199 201—204 218 403
Chow's theorem 15 16
Christ, N.H. 276 418 421 422
Civilized neighborhood 435
Civilized regions 444
Civilized spaces 436 440
Clarke, C.J.S. 473
Classical field equations 263
Classical field theory 2 21
Clifford algebra 208 209 215
Clifford group 210
Clifford multiplication 209 251
Clifford relations 251
Closed differential form 94 114 147 161 192 200 202 243
| Closed orbit 44 66
Coboundary 160 178
Coboundary operator 159 177
Cocycle 160 178 195
Coherent sheaves 342
Cohomology class 178 181 183 191 192 198 202 203 207 322 235 237—339 341 343 363 463
Cohomology group 95 113 151 153 159 161 163 165 178 182 196 197 213 222 224 229 325 327 332 339 341 361 362 366 383 394 396 418 447 452 459 463
Cohomology set 206
Cohomology theory 166 176 206 208
Combinatorial topology 152
Compact complex manifold 10 11 12 18 19 25 41 52 185 189 191
Compactified complexified Minkowski space 64 65 201 481
Compactified Minkowski space 215
Compactified space-time 413
Compactified super Minkowski space 482
Complementary bundle 308
Complete intersection 412
COMPLEX 95
Complex conjugation 246
Complex coordinates 163 297 457
Complex general linear group 36
Complex Grassmannian manifold 27 28
Complex Lie groups 41
Complex light cone 49
Complex line bundles 198 199
Complex manifold 8 9 10 15 16 18 19 44 51 81 85 96 100 103—106 112 113 114 146 148 168 171 173 176 183—185 208 225 233 309 339 342 349 359 360 369 387 388 426 433 436 446 476—480
Complex manifold structure 41 114
Complex Maxwell field 403
Complex null geodesies 433
Complex projective line 65 192 349 436 445
Complex projective space 7 9 163 210 227 295 416
Complex self-dual spaces 294
Complex space-time 293 294 433 434 444
Complex structure 102 114 216 389 427 433 444—446 476
Complex submanifold 8 9 15 16 18 28 44 339 349 434 436 461 476
Complex supermanifold 479
Complex vector bundle 71 88 124 125 127 132 199 201—203 310 388
Complexification 18 50 103 125
Complexified compactified Minkowski space 64 65 210 481
Complexified conformal group 381
Complexified Euclidean metric 402
Complexified flat space-time 297
Complexified Minkowski space 22 49 58 460
Complexified space-time 402 403 405
Complexified tangent bundle 103
Conformal compactification 46 52 61 301 354
Conformal curvature 435
Conformal curvature tensor 287
Conformal density 291 292
Conformal factor 290 439 450
Conformal group 47 58 260 261
Conformal invariance 30 241 258 261 272
Conformal mapping 258 259 260 272
Conformal metric 439 453 454
Conformal rescaling 61 259 261 263 267 271 286 288 289 436 454
Conformal structure 30 51 260 433 435 439 442 446
Conformal transformation 52 259 261 293 470
Conformal weight 261 262 291 292 308 309 310 334 361 436
Conformally invariant field equations 291
Conformally invariant operators 335 446
Conformally weighted scalar fields 334
Conformally weighted spinor bundles 302 313
Conformally weighted spinor fields 311 331
Connecting homomorphisms 181 213
Connection 111 118 132 145
Connection differential operator 134
Connection one-form 133 141 142 146 201 203 205 269
Conormal bundle 339 346
Conormal sheaf 228 235 236 343 344
Constant sheaf 169 184
Constraint equations 483
Continuous linear functional 354 358
Contour integral 322 349 350
Contour integral formula 349 428
Contraction operation 117 138
Convergent power series 72 109 475
Coordinate chart 8 10—12 14 15 17 19 22 53 54 62 65 66 74 76 81 97 100 163 189 315 343 350 376 378 383 391 394 399
Coordinate mapping 8 22 73
Coordinate representation 24 25
Coordinate system 48 76 82 123 248 456 478 481
Correspondence 21
Correspondence space 20 21 23 24
Corrigan — Fairlie — 't Hooft — Wilczek ansatz 423
Corrigan, E.F. 276 371 397 404 421 424 426 432
Cosmological constant 287
Cotangent bundles 79 96 297
Courant, R. 354 368
Covariant derivative operator 242 287 395 420
Covariant differentiation 118 121 138 139 145 209
Covariantly constant basis-spinors 447
Covariantly constant field 376
Covariantly constant frame 139 143
Covariantly constant sections 422
Covariantly constant two-form 407
Cross section 69
Curtis, W.D. 441 444 454
Curvature 35
Curvature form 139 142 143 204 269 373
Curvature tensor 287 292 293
Curved space-time 145 261 287 293 433 435
Curved twistor space 433 434 439 448 451 452
d'Alembertian 242 261 288
Daniel, M. 275
de Rham class 202
De Rham cohomology 161 199 226
de Rham cohomology class 201
de Rham cohomology groups 95 98 151 161 185 199 202 226
de Rham complex 96 108 110 169 170 228 312
de Rham resolution 232
de Rham sequence 313 348
de Rham theorem 176 185 199 232
de Rham, G. 107 161 359
de Roo, M. 422
De Witt, B.S. 473
Decreasing filtration 220
Deformation, infinitesimal 451 452
Derivation 72
Differential 218
Differential equation 21 342 347 361 431 444 483
Differential form 80 82 83 92 94- 103 104 no ;;; 115 137 138 140 160 161 165 172 192 200 202 205 228 232 305 307 308 338 339 359 439
Differential geometry 192 227
Differential operator 112 139 144 260 264 302 303 331 334 430 447
Differential sheaf 218 230—232 234 238 327 337
DifTerentiable bundle 388
DifTerentiable manifold 8 9 13 16 61 72 79 82 92 95 107 110 114 115 131 132 142 160 161 169 183 194 197 213 228 232 235 237 309 476
DifTerentiable manifold structure 74 476
DifTerentiable mapping 8 13—15 68 203 206 208 213 324
DifTerentiable sections 72 197
DifTerentiable supermanifold 480
DifTerentiable vector bundle 71 72 146 197 199 324 480
Dilation 60 260
Dimensional reduction 423 458
Dirac delta function 357
Dirac equation 241 250 252 254
Dirac field 254 255
Dirac Lagrangian 254 256
Dirac magnetic poles 279 422
Dirac measure 357
Dirac operator 209 469
Dirac poles 282 422
Dirac spin-space 255
Dirac spinor 241 251 252 268
Dirac spinor notation 251 252 254
Dirac, P.A.M. 1 125 279 459
Direct image 303 315—317 319 323 335 336
Direct image sheaves 318 333 382
Directional derivative 12 13 18 73 74
Distribution coefficients 359
Distributions 354
Divisor 85
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