Knowledge (XXG)

Atiyah–Bott formula

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On the cohomology ring of the moduli stack of principal bundles
227:(1983). "The Yang-Mills equations over Riemann surfaces". 230:
Philosophical Transactions of the Royal Society of London
127:
on certain homogeneous generators. The original work of
327: 141: 46: 166: 105: 203: 347: 8: 167:{\displaystyle \operatorname {Bun} _{G}(X)} 354: 340: 135:concerned the integral cohomology ring of 146: 140: 94: 90: 89: 67: 51: 45: 196: 284:Weil's Conjecture for Function Fields 7: 308: 306: 326:. You can help Knowledge (XXG) by 48: 14: 118:moduli stack of principal bundles 310: 21:Atiyah–Bott fixed-point theorem 373:Theorems in algebraic geometry 161: 155: 100: 82: 76: 60: 1: 394: 305: 292:Princeton University Press 204:Gaitsgory & Lurie 2019 125:graded-commutative algebra 18: 251:10.1098/rsta.1983.0017 168: 107: 169: 108: 139: 44: 19:For other uses, see 243:1983RSPTA.308..523A 32:Atiyah–Bott formula 221:Atiyah, Michael F. 164: 103: 28:algebraic geometry 335: 334: 275:Gaitsgory, Dennis 237:(1505): 523–615. 385: 356: 349: 342: 320:topology-related 314: 307: 302: 289: 270: 207: 201: 173: 171: 170: 165: 151: 150: 112: 110: 109: 104: 99: 98: 93: 72: 71: 56: 55: 393: 392: 388: 387: 386: 384: 383: 382: 363: 362: 361: 360: 287: 273: 219: 216: 211: 210: 202: 198: 193: 184:Borel's theorem 180: 142: 137: 136: 88: 63: 47: 42: 41: 36:cohomology ring 24: 17: 12: 11: 5: 391: 389: 381: 380: 378:Topology stubs 375: 365: 364: 359: 358: 351: 344: 336: 333: 332: 315: 304: 303: 271: 215: 212: 209: 208: 195: 194: 192: 189: 188: 187: 179: 176: 163: 160: 157: 154: 149: 145: 129:Michael Atiyah 114: 113: 102: 97: 92: 87: 84: 81: 78: 75: 70: 66: 62: 59: 54: 50: 15: 13: 10: 9: 6: 4: 3: 2: 390: 379: 376: 374: 371: 370: 368: 357: 352: 350: 345: 343: 338: 337: 331: 329: 325: 322:article is a 321: 316: 313: 309: 301: 297: 293: 286: 285: 280: 276: 272: 268: 264: 260: 256: 252: 248: 244: 240: 236: 232: 231: 226: 222: 218: 217: 213: 205: 200: 197: 190: 185: 182: 181: 177: 175: 158: 152: 147: 143: 134: 130: 126: 123: 119: 95: 85: 79: 73: 68: 64: 57: 52: 40: 39: 38: 37: 33: 29: 22: 328:expanding it 317: 283: 279:Lurie, Jacob 234: 228: 199: 115: 31: 25: 225:Bott, Raoul 367:Categories 233:. Ser. A. 214:References 133:Raoul Bott 153:⁡ 74:⁡ 58:⁡ 53:∗ 34:says the 281:(2019), 267:13601126 206:, § 6.2. 178:See also 300:3887650 259:0702806 239:Bibcode 116:of the 298:  265:  257:  30:, the 318:This 288:(PDF) 263:S2CID 191:Notes 120:is a 324:stub 131:and 122:free 247:doi 235:308 144:Bun 65:Bun 26:In 369:: 296:MR 294:, 277:; 261:. 255:MR 253:. 245:. 223:; 174:. 355:e 348:t 341:v 330:. 269:. 249:: 241:: 162:) 159:X 156:( 148:G 101:) 96:l 91:Q 86:, 83:) 80:X 77:( 69:G 61:( 49:H 23:.

Index

Atiyah–Bott fixed-point theorem
algebraic geometry
cohomology ring
moduli stack of principal bundles
free
graded-commutative algebra
Michael Atiyah
Raoul Bott
Borel's theorem
Gaitsgory & Lurie 2019
Atiyah, Michael F.
Bott, Raoul
Philosophical Transactions of the Royal Society of London
Bibcode
1983RSPTA.308..523A
doi
10.1098/rsta.1983.0017
MR
0702806
S2CID
13601126
Gaitsgory, Dennis
Lurie, Jacob
Weil's Conjecture for Function Fields
Princeton University Press
MR
3887650
Stub icon
topology-related
stub

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