@book{MSMF_1981_2_5__1_0, author = {Ochanine, Serge}, title = {Signature modulo <span class="mathjax-formula">$16$</span>, invariants de {Kervaire} g\'en\'eralis\'es et nombres caract\'eristiques dans la <span class="mathjax-formula">$K$</span>-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://archive.numdam.org/item/MSMF_1981_2_5__1_0/} }
TY - BOOK AU - Ochanine, Serge TI - Signature modulo <span class="mathjax-formula">$16$</span>, invariants de Kervaire généralisés et nombres caractéristiques dans la <span class="mathjax-formula">$K$</span>-théorie réelle T3 - Mémoires de la Société Mathématique de France PY - 1981 DA - 1981/// IS - 5 PB - Société mathématique de France UR - http://archive.numdam.org/item/MSMF_1981_2_5__1_0/ UR - https://zbmath.org/?q=an%3A0462.57012 UR - https://doi.org/10.24033/msmf.290 DO - 10.24033/msmf.290 LA - fr ID - MSMF_1981_2_5__1_0 ER -
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. | MR 33 #6628 | Zbl 0145.19902
.,[2] SU-cobordism, KO-characteristic numbers, and the Kervaire invariant, Ann. Math., 83, 1966, 54-67. | MR 32 #6470 | Zbl 0137.42802
., ., .,[3] The structure of the Spin cobordism ring, Ann. Math., 86, 1967, 271-298. | MR 36 #2160 | Zbl 0156.21605
., ., .,[4] Cobordism classes of squares of orientable manifolds, Ann. Math., 83, 1966, 47-53. | MR 32 #4700 | Zbl 0134.42704
.,[5] Clifford modules, Topology, 3, 1964, Suppl. 1, 3-38. | MR 29 #5250 | Zbl 0146.19001
., ., .,[6] The index of elliptic operators: III, Ann. Math., 87, 1968, 546-604. | MR 38 #5245 | Zbl 0164.24301
., .,[7] Introduction to commutative algebra, Addison-Wesley, Reading, Massachusetts, 1969. | MR 39 #4129 | Zbl 0175.03601
., .,[8] La cohomologie mod 2 de certains espaces homogènes, Comment. Math. Helv., 27, 1953, 165-197. | EuDML 139062 | MR 15,244h | Zbl 0052.40301
.,[9] Characteristic classes and homogeneous spaces, III, Amer. J. Math., 82, 1960, 491-504. | MR 22 #11413 | Zbl 0097.36401
., .,[10] TeopиЯ ЧиceЛ "Hayka", Mockba, 1972.
., .,[10*] Number theory, Acad. Press, New-York, 1966. | Zbl 0145.04902
, .,[11] The Kervaire invariant of framed manifolds and its generalisations, Ann. Math., 90, 1969, 157-186. | MR 40 #4963 | Zbl 0198.28501
.,[12] Surgery on simply-connected manifolds, Ergebnisse der Math., Band 65, Springer-Verlag, Berlin, Heidelberg, New-York, 1972. | MR 50 #11272 | Zbl 0239.57016
.,[13] Complete intersections and the Kervaire invariant, Lecture Notes Math., 763, 1979, 88-108. | MR 81i:57019 | Zbl 0429.57010
.,[14] Note on an invariant of Kervaire, Mich. Math. J., 12, 1965, 23-24. | MR 32 #8351 | Zbl 0129.39002
.,[15] The Kervaire invariant of (8k+2)-manifolds, Amer. J. Math., 88, 1966, 815-826. | MR 34 #6786 | Zbl 0148.17401
, ,[16] Generalizations of the Kervaire invariant, Ann. Math., 95, 1972, 368-383. | MR 45 #2719 | Zbl 0241.57014
,[17] A product formula for an Arf-Kervaire invariant, Bull. Amer. Math. Soc., 80, 1974, 873-874. | MR 50 #8561 | Zbl 0292.57006
,[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 0249.57021
/ /,[19] Some new four-manifolds, Ann. Math., 104, 1976, 61-72. | MR 54 #6167 | Zbl 0345.57003
, ,[20] On the index of a fibered manifold, Proc. Amer. Math. Soc., 8, 1957, 587-596. | MR 19,441c | Zbl 0083.17801
, , ,[21] Torsion in SU-bordism, Memoirs Amer. Math. Soc., 60, 1966. | MR 32 #6471 | Zbl 0138.18504
, ,[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. | MR 55 #13440 | Zbl 0361.57018
, ,[24] Topological methods in algebraic geometry, Springer-Verlag, Berlin, Heidelberg, New-York, 1966. | MR 34 #2573 | Zbl 0138.42001
,[25] Differentiable manifolds and quadratic forms, Marcel Dekker, New-York, 1971. | Zbl 0226.57001
, , ,[26] Formal groups and zeta-functions, Osaka J. Math., 5, 1968, 199-213. | MR 40 #2683 | Zbl 0169.37601
,[27] Fibre bundles, McGraw-Hill, New-York etc, 1966. | MR 37 #4821 | Zbl 0144.44804
,[28] The image of the signature homomorphism for symplectic cobordism, Trans. Amer. Math. Soc., 240, 1978, 253-262. | MR 58 #13089 | Zbl 0388.57012
,[29] On 2-spheres in 4-manifolds, Proc. Nat. Acad. Sci. USA, 47, 1961, 1651-1657. | MR 24 #A2968 | Zbl 0107.40303
, ,[30] Groups of homotopy spheres, I, Ann. Math., 77, 1963, 504-537. | MR 26 #5584 | Zbl 0115.40505
, ,[31] The signature of symplectic and self-conjugate manifolds, Lecture Notes Math., 741, 1979, 461-472. | MR 81c:57037 | Zbl 0419.57008
,[32] The Steenrod algebra and its dual, Ann. Math., 67, 1958, 150-171. | MR 20 #6092 | Zbl 0080.38003
,[33] Morse theory, Princeton Univ. Press, Princeton, New-Jersey, 1963. | MR 29 #634 | Zbl 0108.10401
,[34] Spin structures on manifolds. Enseignement Math., 9, 1963, 198-203. | MR 28 #622 | Zbl 0116.40403
,[35] On the Stiefel-Whitney numbers of complex manifolds and spin-manifolds, Topology, 3, 1965, 223-230. | MR 31 #5207 | Zbl 0132.19601
,[36] Characteristic classes, Princeton Univ. Press, Princeton, New-Jersey, 1974. | MR 55 #13428 | Zbl 0298.57008
, ,[37] The Kervaire invariant of hypersurfaces in complex projective spaces, Comment. Math. Helv., 50, 1975, 403-419. | MR 52 #6756 | Zbl 0322.57012
,[38] Cohomology operations and applications in homotopy theory, Harper & Row, New-York, Evanston, London, 1968. | MR 37 #2223 | Zbl 0153.53302
, ,[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 0445.57021
,[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. | MR 42 #3804 | Zbl 0199.58401
,[41] Сигнатура SU-многообраӡий. Мат. Ӡаметки, 13, 1973, 97-102.
,[41*] The signature of SU-manifolds, Math. notes, 13, 1973, 57-60. | MR 49 #3999 | Zbl 0268.57015
,[42] Signature et invariants de Kervaire généralisés, C.R. Acad. Sci., 285, série A, 1977, 211-213. | MR 56 #16645 | Zbl 0361.57016
,[43] Formules "à la Hirzebruch" pour les invariants de Kervaire généralisés, C.R. Acad. Sci., 289, série A, 1979, 487-490. | MR 80k:55055 | Zbl 0424.57012
,[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 0259.14010
,[46] Differential geometry and topology, Notes on Math. and its Appl., New-York, 1968. | Zbl 0187.45006
,[47] Ochob aЛ reɃpaИ҆eckoИ ґeometpИИ. «Hayka», Mockba, 1972.
,[47*] Basic algebraic geometry, Springer-Verlag, Berlin, Heidelberg, New-York, 1974. | MR 51 #3163 | Zbl 0284.14001
,[48] Notes on cobordism theory, Princeton Univ. Press, Princeton, New-Jersey, 1968. | MR 40 #2108 | Zbl 0181.26604
,[49] On tangent bundles of fibre spaces and quotient spaces, Amer. J. Math., 86, 1964, 685-697. | MR 30 #2522 | Zbl 0151.31703
,[50] Addendum to a paper of Conner and Floyd, Proc. Camb. Phil. Soc., 62, 1966, 171-175. | MR 32 #6472 | Zbl 0138.18601
,[51] Recent advances in homotopy theory, Amer. Math. Soc. Regional conference series in Math., n° 5, 1970. | MR 46 #8208 | Zbl 0217.48601
,[52] Removing handles from non-singular algebraic hypersurfaces in CPn+1, Invent. Math., 31, 1975, 1-3. | MR 52 #9253 | Zbl 0313.57022
,Cité par Sources :