Non-degenerescence of some spectral sequences

Sarkaria, K. S.. "Non-degenerescence of some spectral sequences." Annales de l'institut Fourier 34.1 (1984): 39-46. <http://eudml.org/doc/74620>.

@article{Sarkaria1984,
abstract = {Each Lie algebra $\{\cal F\}$ of vector fields (e.g. those which are tangent to a foliation) of a smooth manifold $M$ définies, in a natural way, a spectral sequence $E_k(\{\cal F\})$ which converges to the de Rham cohomology of $M$ in a finite number of steps. We prove e.g. that for all $k\ge 0$ there exists a foliated compact manifold with $E_k(\{\cal F\})$ infinite dimensional.},
author = {Sarkaria, K. S.},
journal = {Annales de l'institut Fourier},
keywords = {Lie algebra of vector fields tangent to a foliation; spectral sequence converging to the de Rham cohomology},
language = {eng},
number = {1},
pages = {39-46},
publisher = {Association des Annales de l'Institut Fourier},
title = {Non-degenerescence of some spectral sequences},
url = {http://eudml.org/doc/74620},
volume = {34},
year = {1984},
}

TY - JOUR
AU - Sarkaria, K. S.
TI - Non-degenerescence of some spectral sequences
JO - Annales de l'institut Fourier
PY - 1984
PB - Association des Annales de l'Institut Fourier
VL - 34
IS - 1
SP - 39
EP - 46
AB - Each Lie algebra ${\cal F}$ of vector fields (e.g. those which are tangent to a foliation) of a smooth manifold $M$ définies, in a natural way, a spectral sequence $E_k({\cal F})$ which converges to the de Rham cohomology of $M$ in a finite number of steps. We prove e.g. that for all $k\ge 0$ there exists a foliated compact manifold with $E_k({\cal F})$ infinite dimensional.
LA - eng
KW - Lie algebra of vector fields tangent to a foliation; spectral sequence converging to the de Rham cohomology
UR - http://eudml.org/doc/74620
ER -