The methods of algebraic topology from the viewpoint of cobordism
Izvestiya. Mathematics , Tome 1 (1967) no. 4, pp. 827-913.

Voir la notice de l'article provenant de la source Math-Net.Ru

The goal of this work is the construction of the analogue to the Adams spectral sequence in cobordism theory, calculation of the ring of cohomology operations in this theory, and also a number of applications: to the problem of computing homotopy groups and the classical Adams spectral sequence, fixed points of transformations of period $p$, and others.
@article{IM2_1967_1_4_a5,
     author = {S. P. Novikov},
     title = {The methods of algebraic topology from the viewpoint of cobordism},
     journal = {Izvestiya. Mathematics },
     pages = {827--913},
     publisher = {mathdoc},
     volume = {1},
     number = {4},
     year = {1967},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1967_1_4_a5/}
}
TY  - JOUR
AU  - S. P. Novikov
TI  - The methods of algebraic topology from the viewpoint of cobordism
JO  - Izvestiya. Mathematics 
PY  - 1967
SP  - 827
EP  - 913
VL  - 1
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IM2_1967_1_4_a5/
LA  - en
ID  - IM2_1967_1_4_a5
ER  - 
%0 Journal Article
%A S. P. Novikov
%T The methods of algebraic topology from the viewpoint of cobordism
%J Izvestiya. Mathematics 
%D 1967
%P 827-913
%V 1
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IM2_1967_1_4_a5/
%G en
%F IM2_1967_1_4_a5
S. P. Novikov. The methods of algebraic topology from the viewpoint of cobordism. Izvestiya. Mathematics , Tome 1 (1967) no. 4, pp. 827-913. http://geodesic.mathdoc.fr/item/IM2_1967_1_4_a5/

[1] Adams J. F., “Steenrod algebra, its structure and applications”, Comment. math. helv., 32:3 (1958), 180–214 | DOI | MR | Zbl

[2] Adams J. F., “Vector fields on the spheres”, Ann. Math., 75 (1962), 603–632 | DOI | MR | Zbl

[3] Adams J. F., “On the groups J. $(X)$. I”, Topology, 1963, no. 2, 181–195 | DOI | MR

[4] Atiah M. F., Adams J. F., “$K$-theory and Hopf invariant”, Proc. Cambr. Phil. Soc., 1966

[5] Atiah M. F., “Bordism and cobordism”, Proc. Cambridge Philos. Soc., 57:2 (1961), 200–208 | DOI | MR

[6] Atiah M. F., “Thom complexes”, Proc. London Math. Soc., 11:42 (1960), 291–310 | MR

[7] Atiah M. F., “Characters and cohomology of finite groups”, Inst. des Hautes Et. Sci., 9 (1961), 247–288

[8] Atiah M. F., Hirzebruch F., “Rieman–Roch theorems for differentiable manifolds”, Bull. Amer. Math. Soc., 69 (1963), 352–356 | DOI | MR

[9] Anderson A., Brown E., Peterson F., “$SU$-cobordism, $KO$-characteristic numbers and Arf-invariant”, Ann. math., 83:1 (1966), 54–67 | DOI | MR | Zbl

[10] Anderson A., Brown R., Peterson F., “Spin cobordism”, Bull. Am. Math. Soc., 72:2 (1966), 256–260 | DOI | MR | Zbl

[11] Conner P., Floyd E., Cobordism theories, preprint, Princetone Univ., 1963, p. 1–15

[12] Conner P., Floyd E., “The $SU$-bordism theory”, Bull. Amer. Math. Soc., 70 (1964), 670–675 | DOI | MR | Zbl

[13] Conner P., Floyd E., “Torsion in $SU$-bordism”, Mem. Amer. Math. Soc., 1966, no. 60, 1–73 | MR

[14] Kervaire M., Milnor J., “Bernoulli numbers, homotopy groups and a theorem of Rohlin”, Proc Internat. Congr. Math. (1958), Cambridge Univ. Press, 1960, 454–458 | MR

[15] Milnor J., “Cobordism ring and a complex analogue”, Amer. J. Math., 82:3 (1960), 505–521 | DOI | MR | Zbl

[16] Mischenko A. S., “Spektralnye posledovatelnosti tipa Adamsa”, Matem. zametki, I:2 (1967), 339–346

[17] Novikov S. P., “O nekotorykh zadachakh topologii mnogoobrazii, svyazannykh s teoriei prostranstv Toma”, Dokl. AN SSSR, 132:5 (1960), 1031–1034 | Zbl

[18] Novikov S. P., “Gomotopicheskie svoistva kompleksov Toma”, Matem. sb., 57(99) (1962), 406–442

[19] Novikov S. P., “Koltsa operatsii i spektralnye posledovatelnosti tipa Adamsa v ekstraordinarnykh teoriyakh kogomologii. $U$-kobordizmy i $K$-teoriya”, Dokl. AN SSSR, 172:1 (1967), 33–36 | Zbl

[20] Rokhlin V. A., “Vnutrennie gomologii”, Dokl. AN SSSR, 89:5 (1953), 789–792 | Zbl

[21] Rokhlin V. A., “Teoriya vnutrennikh gomologii”, Uspekhi matem. nauk, 14:4 (1959), 3–20 | MR

[22] Stong R., “Relations between characteristic numbers. I”, Topology, 4:3 (1965), 267–282 | DOI | MR

[23] Wall C. T. C., “Determination of cobordism ring”, Ann. Math., 72:2 (1960), 292–311 | DOI | MR | Zbl

[24] Novikov S. P., “O kogomologiyakh algebry Stinroda”, Dokl. AN SSSR, 128:5 (1959), 893–895 | Zbl

[25] Cohen J., “Some resuls on the stable homotopy groups of spheres”, Bull. of Am. Math. Soc., 72:4 (1966), 732–735 | DOI | MR | Zbl

[26] Brown E., Peterson F., “A spektrum whose $Z_p$-cohomology is algebra of reduced $p^{th}$-powers”, Topology, 5:2 (1966), 149–154 | DOI | MR | Zbl