Minimal models of oriented Grassmannians and applications

Goutam Mukherjee; Parameswaran Sankaran

Mathematica Slovaca (2000)

  • Volume: 50, Issue: 5, page 567-579
  • ISSN: 0232-0525

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Mukherjee, Goutam, and Sankaran, Parameswaran. "Minimal models of oriented Grassmannians and applications." Mathematica Slovaca 50.5 (2000): 567-579. <http://eudml.org/doc/34525>.

@article{Mukherjee2000,
author = {Mukherjee, Goutam, Sankaran, Parameswaran},
journal = {Mathematica Slovaca},
keywords = {Grassmann manifold; flag manifold; rational homotopy theory; minimal model; formality; nilpotence},
language = {eng},
number = {5},
pages = {567-579},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Minimal models of oriented Grassmannians and applications},
url = {http://eudml.org/doc/34525},
volume = {50},
year = {2000},
}

TY - JOUR
AU - Mukherjee, Goutam
AU - Sankaran, Parameswaran
TI - Minimal models of oriented Grassmannians and applications
JO - Mathematica Slovaca
PY - 2000
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 50
IS - 5
SP - 567
EP - 579
LA - eng
KW - Grassmann manifold; flag manifold; rational homotopy theory; minimal model; formality; nilpotence
UR - http://eudml.org/doc/34525
ER -

References

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  3. BOTT R.-TU L., Differential Forms in Algebraic Topology, Grad. Texts in Math. 82, Springer-Verlag, New York, 1982. (1982) Zbl0496.55001MR0658304
  4. BOUSFIELD A. K.-GUGENHEIM V. K. A. M., On PL de Rham theory and rational homotopy type, Mem. Amer. Math. Soc. 179 (1976). (1976) Zbl0338.55008MR0425956
  5. DELIGNE P.-GRIFFITHS P.-MORGAN J.-SULLIVAN D., Real homotopy theory of Kähler manifolds, Invent. Math. 29 (1975), 245-274. (1975) Zbl0312.55011MR0382702
  6. GLOVER H., HOMER W., Equivariant immersions of flag manifolds, Indiana Univ. Math. J. 28 (1979), 953-956. (1979) MR0551158
  7. GREUB W.-HALPERIN S.-VANSTONE R., Connections, Curvature, and Cohomology, Vol. III, Academic Press, New York, 1976. (1976) Zbl0372.57001MR0400275
  8. GRIFFITHS P.-MORGAN J., Rational Homotopy Theory and Differential Forms, Birkhäuser, Basel, 1981. (1981) Zbl0474.55001MR0641551
  9. HELGASON S., Differential Geometry, Lie Groups, and Symmetic Spaces, Academic Press, New York, 1978. (1978) MR0514561
  10. HILTON P., Nilpotente Gruppen und nilpotente Raume, Lecture Notes in Math. 1053, Springer Verlag, New York, 1986. (1986) MR0764045
  11. LANG S., Algebra, (Зrd ed.), Addison-Wesley, Reading, Mass., 1993. (1993) Zbl0848.13001MR0197234
  12. MILNOR J.-STASHEFF J., Characteristic Classes, Ann. of Math. Stud. 76, Princeton Univ Press, Princeton, NJ, 1974. (1974) Zbl0298.57008MR0440554
  13. ROITBERG J., Note on nilpotent spaces and localization, Math. Z. 137 (1974), 67-74. (1974) Zbl0283.55007MR0346782
  14. SPANIER E., Algebraic Topology, Springer-Verlag, New York, 1979. (1979) MR0666554
  15. SULLIVAN D., Infinitesimal computations in topology, Publ. Math., Inst. Hautes Etud. Sci. 47 (1977), 269-331. (1977) Zbl0374.57002MR0646078
  16. TRALLE A.-OPREA J., Symplectic Manifolds with no Kähler Structure, Lecture Notes in Math. 1661, Springer Verlag, New York. Zbl0891.53001MR1465676
  17. VARADARAJAN K., Nilpotent actions and nilpotent spaces, 1976 (Unpublished). 

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