Geodesic
The index of elliptic operators. III
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 24 (1969) no. 1 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{RM_1969_24_1_a7,
     author = {M. F. Atiyah and I. M. Singer},
     title = {The index of elliptic {operators.~III}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     year = {1969},
     volume = {24},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/RM_1969_24_1_a7/}
}
TY  - JOUR
AU  - M. F. Atiyah
AU  - I. M. Singer
TI  - The index of elliptic operators. III
JO  - Trudy Matematicheskogo Instituta imeni V.A. Steklova
PY  - 1969
VL  - 24
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/RM_1969_24_1_a7/
LA  - ru
ID  - RM_1969_24_1_a7
ER  - 
%0 Journal Article
%A M. F. Atiyah
%A I. M. Singer
%T The index of elliptic operators. III
%J Trudy Matematicheskogo Instituta imeni V.A. Steklova
%D 1969
%V 24
%N 1
%U http://geodesic.mathdoc.fr/item/RM_1969_24_1_a7/
%G ru
%F RM_1969_24_1_a7
M. F. Atiyah; I. M. Singer. The index of elliptic operators. III. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 24 (1969) no. 1. http://geodesic.mathdoc.fr/item/RM_1969_24_1_a7/

[1] M. Atya, $K$-teoriya, «Mir», M., 1967

[2] M. F. Atiyah, R. Boot, “The Lefschetz fixed-point theorem for elliptic complexes, II”, Ann. of Math., 1968

[3] M. F. Atiyah, R. Boot, A. Shapiro, “Clifford Modules”, Topology, 31 (1964), 3–38 | DOI | MR

[4] M. F. Atiyah, D. Hirzebruch, “Riemann - Roch theorems for differential manifolds”, Bull. Amer. Math. Soc., 65 (1959), 276–281 | DOI | MR | Zbl

[5] M. F. Atya, G. B. Segal, “Indeks ellipticheskikh operatorov, II”, UMN, 23:6 (144) (1968), 135–149 | MR

[6] M. F. Atiyah, I. M. Singer, “The index of elliptic operators on compact manifolds”, Bull. Amer. Math. Soc., 69 (1961), 422–433 | DOI | MR

[7] M. F. Atya, I. M. Zinger, “Indeks ellipticheskikh operatorov, I”, UMN, 23:5 (143) (1968), 99–142 | MR

[8] A. Boorl, F. Hirzebruch, “Characteristic classes and homogeneous spaces”, Amer. Journ. Math., 80 (1958), 458–538 ; 81 (1959), 315–382 ; 82 (1960), 491–504 | DOI | MR | DOI | MR | DOI | MR

[9] R. Bott, Vector fields and characteristic numbers, 1968 | MR

[10] R. Bott, “A residuc formula for holomorphic vector fields”, Journ. Diff. Geometrie, 1968 | MR

[11] M. Browder, G. R. Livesay, “Fixed-point free involutions on homotopy spheres”, Bull. Amer. Math. Soc., 73 (1967), 242–245 | DOI | MR | Zbl

[12] P. Conner, E. E. Floyd, Differentiable periodic maps, Springer, 1964 | MR | Zbl

[13] F. Hirzebruch, Topological methods in algebraic geometry, Springer, 1966 | MR

[14] F. Hirzebruch, “Automorphe Formen imd der Satz von Riemann-Roch”, Symp. Inter. Top. Alg., Mexico, 1956, 129–144 | MR

[15] F. Khirtsebrukh, “Ellipticheskie differentsialnye operatory na mnogoobraziyakh”, UMN, 23:1 (139) (1968), 191–209 | MR | Zbl

[16] R. P. Langlands, “The dimension of spaces of automorphic formes”, Amer. Journ. Math., 1963, 99–125 | DOI | MR | Zbl

[17] A. Lichnerowicz, “Spineurs harmoniques”, Compt. Rend. Acad. Sci. (Paris), 257 (1963), 7–9 | MR | Zbl

[18] S. B. Myers, N. E. Steenrod, “The group of isometries of a Riemannian manifold”, Ann. of Math., 40 (1939), 400–416 | DOI | MR

[19] R. Palais, Seminar on the Atiyah - Singer Index Theorem, Ann. Math. Study., 57

[20] G. B. Segal, “Equivariant $K$-theory”, Publ. Math. Inst. Hautes Etudes Sci. Paris, 1968