K -theory of oriented Grassmann manifolds

Parameswaran Sankaran; Peter D. Zvengrowski

Mathematica Slovaca (1997)

  • Volume: 47, Issue: 3, page 319-338
  • ISSN: 0232-0525

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Sankaran, Parameswaran, and Zvengrowski, Peter D.. "$K$-theory of oriented Grassmann manifolds." Mathematica Slovaca 47.3 (1997): 319-338. <http://eudml.org/doc/31906>.

@article{Sankaran1997,
author = {Sankaran, Parameswaran, Zvengrowski, Peter D.},
journal = {Mathematica Slovaca},
keywords = {Grassmann manifold; K-theory; parallelizability; almost complex structure; flag manifold; Pontrjagin class; spinor representation; Hodgkin spectral sequence},
language = {eng},
number = {3},
pages = {319-338},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {$K$-theory of oriented Grassmann manifolds},
url = {http://eudml.org/doc/31906},
volume = {47},
year = {1997},
}

TY - JOUR
AU - Sankaran, Parameswaran
AU - Zvengrowski, Peter D.
TI - $K$-theory of oriented Grassmann manifolds
JO - Mathematica Slovaca
PY - 1997
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 47
IS - 3
SP - 319
EP - 338
LA - eng
KW - Grassmann manifold; K-theory; parallelizability; almost complex structure; flag manifold; Pontrjagin class; spinor representation; Hodgkin spectral sequence
UR - http://eudml.org/doc/31906
ER -

References

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  14. MacLANE S., Homology, Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen, Band 114, Springer Verlag, Berlin, 1967. (1967) MR0349792
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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. (1971) Zbl0228.55006MR0312500
  18. SANKARAN P., Nonexistence of almost complex structures on Grassmann manifolds, Proc. Amer. Math. Soc. 113 (1991), 297-302. (1991) Zbl0725.57011MR1043420
  19. SANKARAN P.-ZVENGROWSKI P., Stable parallelizability of partially oriented flag manifolds, Pacific J. Math. 128 (1987), 349-359. (1987) Zbl0592.57018MR0888523
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