Fat bundles and formality

Wojciech Andrzejewski; Aleksy Tralle

Annales Polonici Mathematici (1997)

  • Volume: 65, Issue: 2, page 105-118
  • ISSN: 0066-2216

Abstract

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We prove the formality property of total spaces of fat bundles over compact homogeneous spaces. Some rational homotopy obstructions to fatness are obtained.

How to cite

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Wojciech Andrzejewski, and Aleksy Tralle. "Fat bundles and formality." Annales Polonici Mathematici 65.2 (1997): 105-118. <http://eudml.org/doc/269994>.

@article{WojciechAndrzejewski1997,
abstract = {We prove the formality property of total spaces of fat bundles over compact homogeneous spaces. Some rational homotopy obstructions to fatness are obtained.},
author = {Wojciech Andrzejewski, Aleksy Tralle},
journal = {Annales Polonici Mathematici},
keywords = {fat bundle; formality; symplectic structure; rational homology},
language = {eng},
number = {2},
pages = {105-118},
title = {Fat bundles and formality},
url = {http://eudml.org/doc/269994},
volume = {65},
year = {1997},
}

TY - JOUR
AU - Wojciech Andrzejewski
AU - Aleksy Tralle
TI - Fat bundles and formality
JO - Annales Polonici Mathematici
PY - 1997
VL - 65
IS - 2
SP - 105
EP - 118
AB - We prove the formality property of total spaces of fat bundles over compact homogeneous spaces. Some rational homotopy obstructions to fatness are obtained.
LA - eng
KW - fat bundle; formality; symplectic structure; rational homology
UR - http://eudml.org/doc/269994
ER -

References

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  10. [10] R. Narasimhan and S. Ramanan, Existence of universal connections, Amer. J. Math. 83 (1961), 536-572. Zbl0114.38203
  11. [11] J.-C. Thomas, Rational homotopy of Serre fibrations, Ann. Inst. Fourier (Grenoble) 31 (3) (1981), 71-90. Zbl0446.55009
  12. [12] I. Vaisman, Symplectic Geometry and Secondary Characteristic Classes, Birkhäuser, Basel, 1988. 
  13. [13] M. Vigué-Poirrier and D. Sullivan, Cohomology theory of the closed geodesic problem, J. Differential Geom. 11 (1976), 633-644. Zbl0361.53058
  14. [14] A. Weinstein, Fat bundles and symplectic manifolds, Adv. in Math. 37 (1980), 239-250. Zbl0449.53035
  15. [15] P. B. Zwart and W. M. Boothby, On compact, homogeneous symplectic manifolds, Ann. Inst. Fourier (Grenoble) 30 (1) (1980), 129-157. Zbl0417.53028

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