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Signature defect

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48: = 0 of their eta function, and used this to show that Hirzebruch's signature defect of a cusp of a Hilbert modular surface can be expressed in terms of the value at 69:; Donnelly, H.; Singer, I. M. (1983), "Eta invariants, signature defects of cusps, and values of L-functions", 160: 24:
of a singularity measures the correction that a singularity contributes to the signature theorem.
29: 71: 144: 108: 8: 96: 53: 132: 88: 124: 80: 140: 104: 66: 33: 154: 136: 92: 41: 17: 128: 100: 84: 40:) defined the signature defect of the boundary of a manifold as the 115:
Hirzebruch, Friedrich E. P. (1973), "Hilbert modular surfaces",
28:
introduced the signature defect for the cusp singularities of
65: 37: 36:, H. Donnelly, and I. M. Singer ( 152: 114: 25: 153: 13: 14: 172: 1: 59: 7: 117:L'Enseignement Mathématique 10: 177: 34:Michael Francis Atiyah 52: = 0 or 1 of a 30:Hilbert modular surfaces 67:Atiyah, Michael Francis 72:Annals of Mathematics 129:10.5169/seals-46292 161:Singularity theory 54:Shimizu L-function 75:, Second Series, 26:Hirzebruch (1973) 168: 147: 111: 22:signature defect 176: 175: 171: 170: 169: 167: 166: 165: 151: 150: 85:10.2307/2006957 62: 44:, the value as 12: 11: 5: 174: 164: 163: 149: 148: 112: 79:(1): 131–177, 61: 58: 9: 6: 4: 3: 2: 173: 162: 159: 158: 156: 146: 142: 138: 134: 130: 126: 122: 118: 113: 110: 106: 102: 98: 94: 90: 86: 82: 78: 74: 73: 68: 64: 63: 57: 55: 51: 47: 43: 42:eta invariant 39: 35: 31: 27: 23: 19: 120: 119:, 2e Série, 116: 76: 70: 49: 45: 21: 15: 123:: 183–281, 18:mathematics 60:References 137:0013-8584 93:0003-486X 155:Category 145:0393045 109:0707164 101:2006957 143:  135:  107:  99:  91:  20:, the 97:JSTOR 133:ISSN 89:ISSN 38:1983 125:doi 81:doi 77:118 16:In 157:: 141:MR 139:, 131:, 121:19 105:MR 103:, 95:, 87:, 56:. 32:. 127:: 83:: 50:s 46:s

Index

mathematics
Hirzebruch (1973)
Hilbert modular surfaces
Michael Francis Atiyah
1983
eta invariant
Shimizu L-function
Atiyah, Michael Francis
Annals of Mathematics
doi
10.2307/2006957
ISSN
0003-486X
JSTOR
2006957
MR
0707164
doi
10.5169/seals-46292
ISSN
0013-8584
MR
0393045
Category
Singularity theory

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