We answer in the affirmative the question posed by Babenko and Taimanov [3] on the existence of nonformal, simply connected, compact symplectic manifolds of dimension $8$.
Marisa Fernández  1 ; Vicente Muñoz  2
@article{10_4007_annals_2008_167_1045,
author = {Marisa Fern\'andez and Vicente Mu\~noz},
title = {An 8-dimensional nonformal, simply connected, symplectic manifold},
journal = {Annals of mathematics},
pages = {1045--1054},
year = {2008},
volume = {167},
number = {3},
doi = {10.4007/annals.2008.167.1045},
mrnumber = {2415392},
zbl = {1173.57012},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4007/annals.2008.167.1045/}
}
TY - JOUR AU - Marisa Fernández AU - Vicente Muñoz TI - An 8-dimensional nonformal, simply connected, symplectic manifold JO - Annals of mathematics PY - 2008 SP - 1045 EP - 1054 VL - 167 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4007/annals.2008.167.1045/ DO - 10.4007/annals.2008.167.1045 LA - en ID - 10_4007_annals_2008_167_1045 ER -
%0 Journal Article %A Marisa Fernández %A Vicente Muñoz %T An 8-dimensional nonformal, simply connected, symplectic manifold %J Annals of mathematics %D 2008 %P 1045-1054 %V 167 %N 3 %U http://geodesic.mathdoc.fr/articles/10.4007/annals.2008.167.1045/ %R 10.4007/annals.2008.167.1045 %G en %F 10_4007_annals_2008_167_1045
Marisa Fernández; Vicente Muñoz. An 8-dimensional nonformal, simply connected, symplectic manifold. Annals of mathematics, Tome 167 (2008) no. 3, pp. 1045-1054. doi: 10.4007/annals.2008.167.1045
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