@book{MSMF_1981_2_5__1_0, author = {Ochanine, S.}, title = {Signature modulo $16$, invariants de {Kervaire} g\'en\'eralis\'es et nombres caract\'eristiques dans la $K$-th\'eorie r\'eelle}, series = {M\'emoires de la Soci\'et\'e Math\'ematique de France}, publisher = {Soci\'et\'e math\'ematique de France}, number = {5}, year = {1981}, doi = {10.24033/msmf.290}, zbl = {0462.57012}, language = {fr}, url = {http://www.numdam.org/item/MSMF_1981_2_5__1_0/} }
TY - BOOK AU - Ochanine, S. TI - Signature modulo $16$, invariants de Kervaire généralisés et nombres caractéristiques dans la $K$-théorie réelle T3 - Mémoires de la Société Mathématique de France PY - 1981 IS - 5 PB - Société mathématique de France UR - http://www.numdam.org/item/MSMF_1981_2_5__1_0/ DO - 10.24033/msmf.290 LA - fr ID - MSMF_1981_2_5__1_0 ER -
%0 Book %A Ochanine, S. %T Signature modulo $16$, invariants de Kervaire généralisés et nombres caractéristiques dans la $K$-théorie réelle %S Mémoires de la Société Mathématique de France %D 1981 %N 5 %I Société mathématique de France %U http://www.numdam.org/item/MSMF_1981_2_5__1_0/ %R 10.24033/msmf.290 %G fr %F MSMF_1981_2_5__1_0
Ochanine, S. Signature modulo $16$, invariants de Kervaire généralisés et nombres caractéristiques dans la $K$-théorie réelle. Mémoires de la Société Mathématique de France, Série 2, no. 5 (1981), 156 p. doi : 10.24033/msmf.290. http://numdam.org/item/MSMF_1981_2_5__1_0/
[1] On the groups J(X) - IV, Topology, 5, 1966, 21-27. | Zbl | MR
.,[2] SU-cobordism, KO-characteristic numbers, and the Kervaire invariant, Ann. Math., 83, 1966, 54-67. | Zbl | MR
., ., .,[3] The structure of the Spin cobordism ring, Ann. Math., 86, 1967, 271-298. | Zbl | MR
., ., .,[4] Cobordism classes of squares of orientable manifolds, Ann. Math., 83, 1966, 47-53. | Zbl | MR
.,[5] Clifford modules, Topology, 3, 1964, Suppl. 1, 3-38. | Zbl | MR
., ., .,[6] The index of elliptic operators: III, Ann. Math., 87, 1968, 546-604. | Zbl | MR
., .,[7] Introduction to commutative algebra, Addison-Wesley, Reading, Massachusetts, 1969. | Zbl | MR
., .,[8] La cohomologie mod 2 de certains espaces homogènes, Comment. Math. Helv., 27, 1953, 165-197. | Zbl | MR | EuDML
.,[9] Characteristic classes and homogeneous spaces, III, Amer. J. Math., 82, 1960, 491-504. | Zbl | MR
., .,[10] TeopиЯ ЧиceЛ "Hayka", Mockba, 1972.
., .,[10*] Number theory, Acad. Press, New-York, 1966. | Zbl
, .,[11] The Kervaire invariant of framed manifolds and its generalisations, Ann. Math., 90, 1969, 157-186. | Zbl | MR
.,[12] Surgery on simply-connected manifolds, Ergebnisse der Math., Band 65, Springer-Verlag, Berlin, Heidelberg, New-York, 1972. | Zbl | MR
.,[13] Complete intersections and the Kervaire invariant, Lecture Notes Math., 763, 1979, 88-108. | Zbl | MR
.,[14] Note on an invariant of Kervaire, Mich. Math. J., 12, 1965, 23-24. | Zbl | MR
.,[15] The Kervaire invariant of (8k+2)-manifolds, Amer. J. Math., 88, 1966, 815-826. | Zbl | MR
, ,[16] Generalizations of the Kervaire invariant, Ann. Math., 95, 1972, 368-383. | Zbl | MR
,[17] A product formula for an Arf-Kervaire invariant, Bull. Amer. Math. Soc., 80, 1974, 873-874. | Zbl | MR
,[18] Проекторы в унитарныx кобордиӡмаx, свяӡанные с SU-теорией /Projecteurs en cobordismes complexes liés à la SU-théorie/. успеxи Мат. Наук, 27, 1972, 231-232. | Zbl
/ /,[19] Some new four-manifolds, Ann. Math., 104, 1976, 61-72. | Zbl | MR
, ,[20] On the index of a fibered manifold, Proc. Amer. Math. Soc., 8, 1957, 587-596. | Zbl | MR
, , ,[21] Torsion in SU-bordism, Memoirs Amer. Math. Soc., 60, 1966. | Zbl | MR
, ,[22] The signature and the Kervaire invariant as cobordism invariants, Rutgers Univ. Thesis, 1976.
,[23] Une extension d'un théorème de Rohlin sur la signature, C.R. Acad. Sci., 285, 18 juillet 1977, 95-98. | Zbl | MR
, ,[24] Topological methods in algebraic geometry, Springer-Verlag, Berlin, Heidelberg, New-York, 1966. | Zbl | MR
,[25] Differentiable manifolds and quadratic forms, Marcel Dekker, New-York, 1971. | Zbl
, , ,[26] Formal groups and zeta-functions, Osaka J. Math., 5, 1968, 199-213. | Zbl | MR
,[27] Fibre bundles, McGraw-Hill, New-York etc, 1966. | Zbl | MR
,[28] The image of the signature homomorphism for symplectic cobordism, Trans. Amer. Math. Soc., 240, 1978, 253-262. | Zbl | MR
,[29] On 2-spheres in 4-manifolds, Proc. Nat. Acad. Sci. USA, 47, 1961, 1651-1657. | Zbl | MR
, ,[30] Groups of homotopy spheres, I, Ann. Math., 77, 1963, 504-537. | Zbl | MR
, ,[31] The signature of symplectic and self-conjugate manifolds, Lecture Notes Math., 741, 1979, 461-472. | Zbl | MR
,[32] The Steenrod algebra and its dual, Ann. Math., 67, 1958, 150-171. | Zbl | MR
,[33] Morse theory, Princeton Univ. Press, Princeton, New-Jersey, 1963. | Zbl | MR
,[34] Spin structures on manifolds. Enseignement Math., 9, 1963, 198-203. | Zbl | MR
,[35] On the Stiefel-Whitney numbers of complex manifolds and spin-manifolds, Topology, 3, 1965, 223-230. | Zbl | MR
,[36] Characteristic classes, Princeton Univ. Press, Princeton, New-Jersey, 1974. | Zbl | MR
, ,[37] The Kervaire invariant of hypersurfaces in complex projective spaces, Comment. Math. Helv., 50, 1975, 403-419. | Zbl | MR
,[38] Cohomology operations and applications in homotopy theory, Harper & Row, New-York, Evanston, London, 1968. | Zbl | MR
, ,[39] (Nadiradze) Инволшии на многобраӡияx Стонга и иx применение в теории кобордиэмов (Involutions sur les variétés de Stong et leurs applications dans la théorie des cobordismes). успеxи мат. наук, 35, 1980, 206-209. | Zbl
,[40] Pontrjagyn classes, the fundamental group and some problems of stable algebra. Essays on topology and related topics, Mém. dédié à G. de Rham, Springer-Verlag, Berlin, Heidelberg, New-York, 1970, 147-155. | Zbl | MR
,[41] Сигнатура SU-многообраӡий. Мат. Ӡаметки, 13, 1973, 97-102.
,[41*] The signature of SU-manifolds, Math. notes, 13, 1973, 57-60. | Zbl | MR
,[42] Signature et invariants de Kervaire généralisés, C.R. Acad. Sci., 285, série A, 1977, 211-213. | Zbl | MR
,[43] Formules "à la Hirzebruch" pour les invariants de Kervaire généralisés, C.R. Acad. Sci., 289, série A, 1979, 487-490. | Zbl | MR
,[44] Новые реӡультаты в теории четыреxмерныx многообраӡий / Nouveaux résultats dans la théorie des variétés de dimension quatre. Докл. AH CCCP, 84, 1952, 221-224.
/ /,[45] Докаӡательство гипотеӡы Гудкова. функц. и прил., 6, 1971, 62-64.
,[45*] Proof of the Gudkov's hypothesis, Func. Anal. and Appl., 6, 1972, 136-138. | Zbl
,[46] Differential geometry and topology, Notes on Math. and its Appl., New-York, 1968. | Zbl
,[47] Ochob aЛ reɃpaИ҆eckoИ ґeometpИИ. «Hayka», Mockba, 1972.
,[47*] Basic algebraic geometry, Springer-Verlag, Berlin, Heidelberg, New-York, 1974. | Zbl | MR
,[48] Notes on cobordism theory, Princeton Univ. Press, Princeton, New-Jersey, 1968. | Zbl | MR
,[49] On tangent bundles of fibre spaces and quotient spaces, Amer. J. Math., 86, 1964, 685-697. | Zbl | MR
,[50] Addendum to a paper of Conner and Floyd, Proc. Camb. Phil. Soc., 62, 1966, 171-175. | Zbl | MR
,[51] Recent advances in homotopy theory, Amer. Math. Soc. Regional conference series in Math., n° 5, 1970. | Zbl | MR
,[52] Removing handles from non-singular algebraic hypersurfaces in CPn+1, Invent. Math., 31, 1975, 1-3. | Zbl | MR
,Cité par Sources :