| Title:
|
$K$-theory of oriented Grassmann manifolds (English) |
| Author:
|
Sankaran, Parameswaran |
| Author:
|
Zvengrowski, Peter |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
47 |
| Issue:
|
3 |
| Year:
|
1997 |
| Pages:
|
319-338 |
| . |
| Category:
|
math |
| . |
| MSC:
|
19L64 |
| MSC:
|
53C15 |
| MSC:
|
55N15 |
| MSC:
|
57R25 |
| idZBL:
|
Zbl 1022.55004 |
| idMR:
|
MR1796336 |
| . |
| Date available:
|
2009-09-25T11:23:21Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/129912 |
| . |
| Reference:
|
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| Reference:
|
[2] ATIYAH M. F.- HIRZEBRUCH F.: Vector bundles and homogeneous.In: Proc. Symp. Pure Math. 3, 1961, pp. 7-38. |
| Reference:
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[3] ATIYAH M. F.-MacDONALD I. G.: Introduction to Commutative Algebra.Addison-Wesley, Reading, 1969. Zbl 0175.03601, MR 0242802 |
| Reference:
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[4] BOREL A.-SERRE J.-P.: Groupes de Lie et puissances reduites de Steenrod.Amer. J. Math. 75 (1953), 409-448. MR 0058213 |
| Reference:
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[5] BOREL A.-HIRZEBRUCH F.: Characteristic classes and homogeneous spaces I.Amer. J. Math. 80 (1958), 458-538. MR 0102800 |
| Reference:
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[6] BRÖCKER T.-TOM DIECK T.: Representations of Compact Lie Groups.Grad. Texts in Math. 98, Springer-Verlag, New York, 1985. MR 0781344 |
| Reference:
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[7] CARTAN H.-EILENBERG S.: Homological Algebra.Princeton University Pгess, Princeton, 1956. Zbl 0075.24305, MR 0077480 |
| Reference:
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[8] HODGKIN L.: The equivariant Künneth theorem in K-theory.Lecture Notes in Math. 496, Springer-Verlag, New York, 1975. Zbl 0323.55009, MR 0478156 |
| Reference:
|
[9] HOGGAR S. G.: On KO theory of Grassmannians.Quart. J. Math. Oxford Ser. (2) 20 (1969), 447-463. Zbl 0184.48402, MR 0254841 |
| Reference:
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[10] HUSEMOLLER D.: Fibre Bundles.Grad. Texts in Math. 20, Springer-Verlag, New York, 1975. Zbl 0307.55015, MR 0370578 |
| Reference:
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[11] KORBAS J.-ZVENGROWSKI P.: The vector field problem: a survey with emphasis on specific manifolds.Exposition. Math. 12 (1994), 3-30. Zbl 0823.57001, MR 1267626 |
| Reference:
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[12] KULTZE R.: An elementary proof for the non-parallelizabiltiy of oriented Grassmannians.Note Mat. 10, Suppl. 2 (1990), 363-367. MR 1221951 |
| Reference:
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[13] LAM K. Y.: A formula for the tangent bundle of flag manifolds and related manifolds.Trans. Amer. Math. Soc. 213 (1975), 305-314. Zbl 0312.55020, MR 0431194 |
| Reference:
|
[14] MacLANE S.: Homology.Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen, Band 114, Springer Verlag, Berlin, 1967. MR 0349792 |
| Reference:
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[15] MIATELLO I. D.-MIATELLO R. J.: On stable parallelizability of Gkn and related manifolds.Math. Ann. 259 (1982), 343-350. MR 0661202 |
| Reference:
|
[16] PITTIE H.: Homogeneous vector bundles on homogeneous spaces.Topology II (1972), 199-203. Zbl 0229.57017, MR 0290402 |
| Reference:
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[17] ROUX A.: Application de la suite spectrale d'Hodgkin au calcul de la K-theorie des varietes de Stiefel.Bull. Soc. Math. France 99 (1971), 345-368. Zbl 0228.55006, MR 0312500 |
| Reference:
|
[18] SANKARAN P.: Nonexistence of almost complex structures on Grassmann manifolds.Proc. Amer. Math. Soc. 113 (1991), 297-302. Zbl 0725.57011, MR 1043420 |
| Reference:
|
[19] SANKARAN P.-ZVENGROWSKI P.: Stable parallelizability of partially oriented flag manifolds.Pacific J. Math. 128 (1987), 349-359. Zbl 0592.57018, MR 0888523 |
| Reference:
|
[20] SPANIER E. H.: Algebraic Topology.McGraw-Hill Book Company, New York-San Francisco-St. Louis-Toronto-London-Sydney, 1966. Zbl 0145.43303, MR 0210112 |
| Reference:
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[21] STEENROD N.: Topology of Fibre Bundles.Princeton Univ. Press, Princeton, 1951. Zbl 0054.07103, MR 0039258 |
| Reference:
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[22] TANG, ZI-ZHOU: Non-existence of weak almost complex structures on Grassmannians.Max Planck Inst. Preprint 92-87. |
| . |
