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Circle-valued Morse theory

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233: 274: 100: 169: 145: 55: 41: 172:; Lee, Yi-Jen (1999), "Circle-valued Morse theory, Reidemeister torsion, and Seiberg-Witten invariants of 3-manifolds", 29: 267: 63: 130:, Mathematical Surveys and Monographs, vol. 108, American Mathematical Society, Providence, RI, p. 50, 298: 260: 293: 59: 209: 183: 174: 141: 96: 125: 193: 131: 88: 205: 155: 110: 201: 151: 106: 25: 87:, de Gruyter Studies in Mathematics, vol. 32, Walter de Gruyter & Co., Berlin, 244: 37: 197: 287: 213: 45: 17: 232: 92: 240: 49: 136: 188: 33: 248: 268: 8: 275: 261: 187: 135: 32:of smooth maps from the manifold to the 75: 40:. It is an important special case of 7: 229: 227: 58:and Yi-Jen Lee have connected it to 14: 231: 1: 198:10.1016/S0040-9383(98)00044-5 247:. You can help Knowledge by 127:Topology of closed one-forms 83:Pajitnov, Andrei V. (2006), 315: 226: 85:Circle-valued Morse theory 24:studies the topology of a 22:circle-valued Morse theory 124:Farber, Michael (2004), 36:, in the framework of 93:10.1515/9783110197976 64:Seiberg–Witten theory 60:Reidemeister torsion 170:Hutchings, Michael 256: 255: 102:978-3-11-015807-6 56:Michael Hutchings 28:by analyzing the 306: 277: 270: 263: 241:topology-related 235: 228: 218: 216: 191: 166: 160: 158: 139: 137:10.1090/surv/108 121: 115: 113: 80: 314: 313: 309: 308: 307: 305: 304: 303: 284: 283: 282: 281: 224: 222: 221: 168: 167: 163: 148: 123: 122: 118: 103: 82: 81: 77: 72: 30:critical points 26:smooth manifold 12: 11: 5: 312: 310: 302: 301: 299:Topology stubs 296: 286: 285: 280: 279: 272: 265: 257: 254: 253: 236: 220: 219: 182:(4): 861–888, 161: 146: 116: 101: 74: 73: 71: 68: 42:Sergei Novikov 38:Morse homology 13: 10: 9: 6: 4: 3: 2: 311: 300: 297: 295: 292: 291: 289: 278: 273: 271: 266: 264: 259: 258: 252: 250: 246: 243:article is a 242: 237: 234: 230: 225: 215: 211: 207: 203: 199: 195: 190: 189:dg-ga/9612004 185: 181: 177: 176: 171: 165: 162: 157: 153: 149: 147:0-8218-3531-9 143: 138: 133: 129: 128: 120: 117: 112: 108: 104: 98: 94: 90: 86: 79: 76: 69: 67: 65: 61: 57: 53: 51: 47: 43: 39: 35: 31: 27: 23: 19: 294:Morse theory 249:expanding it 238: 223: 179: 173: 164: 126: 119: 84: 78: 54: 46:Morse theory 21: 15: 18:mathematics 288:Categories 70:References 48:of closed 50:one-forms 214:12740033 175:Topology 206:1679802 156:2034601 111:2319639 212:  204:  154:  144:  109:  99:  34:circle 239:This 210:S2CID 184:arXiv 245:stub 142:ISBN 97:ISBN 62:and 194:doi 132:doi 89:doi 44:'s 16:In 290:: 208:, 202:MR 200:, 192:, 180:38 178:, 152:MR 150:, 140:, 107:MR 105:, 95:, 66:. 52:. 20:, 276:e 269:t 262:v 251:. 217:. 196:: 186:: 159:. 134:: 114:. 91::

Index

mathematics
smooth manifold
critical points
circle
Morse homology
Sergei Novikov
Morse theory
one-forms
Michael Hutchings
Reidemeister torsion
Seiberg–Witten theory
doi
10.1515/9783110197976
ISBN
978-3-11-015807-6
MR
2319639
Topology of closed one-forms
doi
10.1090/surv/108
ISBN
0-8218-3531-9
MR
2034601
Hutchings, Michael
Topology
arXiv
dg-ga/9612004
doi
10.1016/S0040-9383(98)00044-5

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