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Collected Works, Volume 3: Index Theory 1

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Author(s): Michael Atiyah
Publisher: Clarendon Press
Year: 1988

Language: English
Pages: 616

Atiyah M. Collected works vol.3 INDEX THEORY: 1 ......Page 4
Copyright ......Page 5
PREFACE ......Page 6
ACKNOWLEDGEMENTS ......Page 8
CURRICULUM VITAE ......Page 11
CONTENTS ......Page 12
Commentary 1......Page 23
56.(with I. M. Singer) The index of elliptic operators on compact manifolds. Bull. Am. Math.Soc. 69 (1963), 422-33. 11 ......Page 33
57.(with R. Bott) The index problem for manifolds with boundary. Differential Analysis (papers presented at the Bombay Colloquium 1964), Oxford University Press, 175—86. 25......Page 47
58.The index theorem for manifolds with boundary, Appendix I in seminar on the Atiyah-Singer index theorem, Annals of Math., Study 57, Princeton Univ. Press (1965), 337—51.39......Page 61
59.Algebraic topology and elliptic operators. Comm. PureAppl. Math. XX (1967), 237-49. 57......Page 79
60.Global aspects of the theory of elliptic differential operators. Proc. Int. Congress of Mathematicians, Moscow, 1966, 57—64. 73......Page 95
61.(with R. Bott) A Lefschetz fixed-point formula for elliptic differential operators. Bull. Am.Math. Soc. 72 (1966), 245-50. 83......Page 105
62.(with R. Bott) A Lefschetz fixed-point formula for elliptic complexes I. Ann. of Math.86 (1967), 374-407. 91......Page 113
63.(with R. Bott) A Lefschetz fixed-point formula for elliptic complexes II: Applications. Ann. of Math. 88 (1968), 451 -91. 127......Page 149
64.(with I.M.Singer) The index of elliptic operators: I. Ann. of Math. 87 (1968), 484—530. 171......Page 193
65.(with G.B.Segal) The index of elliptic operators: II. Ann. of Math. 87 (1968), 531-45. 224......Page 243
66.(with I.M.Singer) The index of elliptic operators: III. Ann. of Math. 87(1968), 546-604. 239......Page 261
67.(with I.M.Singer) The index of elliptic operators: IV. Ann. ofMath. 93(1971), 119-38. 301......Page 323
68.(with I.M.Singer) The index of elliptic operators: V. Ann. ofMath. 93 ( 1971 ), 139—49. 323......Page 345
69.Global theory of elliptic operators. Proc. of the Int. Symposium on Functional analysis, Tokyo. University of Tokyo Press (1969), 21-30. 337......Page 359
70.(with I.M.Singer) Index theory for skew-adjoint Fredholm operators. Publ. Math. Institut des Hautes Etudes Scientifiques, No. 37 (1969), 305—26. 349......Page 371
71.The signature of fibre bundles. Global Analysis, papers in honour of K. Kodaira. University of Tokyo Press and Princeton University Press (1969), 73—84. 373......Page 395
72.Topology of elliptic operators. Global Analysis, Proc. Symp. Pure Math. 16, Amer. Math. Soc. (1970), 101-19. 387......Page 409
73.Resolution of singularities and division of distributions. Comm. Pure Appl. Math. 23 387 (1970) 145-50. 409......Page 431
74.(with F.Hirzebruch) Spin-manifolds and group actions. Essays on topology and related topics, Mémoires dédiés à Georges de Rham (ed. A. Haefliger and R. Narasimhan), Springer-Verlag, New York-Berlin (1970), 18-28. 417......Page 439
75.Riemann surfaces and spin structures. Ann. Sci. École Norm. Sup. 4 (1971), 47-62. 431......Page 453
76.(with E.Rees) Vector bundles on projective 3-space. Inventiones Math. 35 (1976), 131-53. 449......Page 471
77.The index of elliptic operators. Colloquium Lectures, Amer. Math. Soc., Dallas (1973). 475......Page 497
78.Elliptic operators and compact groups. Lecture Notes in Mathematics, Springer-Verlag, Berlin, 401 (1974), 1-93. 499......Page 519
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