We show that the property of having only vanishing triple Massey products in equivariant cohomology is inherited by the set of fixed points of hamiltonian circle actions on closed symplectic manifolds. This result can be considered in a more general context of characterizing homotopic properties of Lie group actions. In particular it can be viewed as a partial answer to a question posed by Allday and Puppe about finding conditions ensuring the "formality" of G-actions.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ba52-2-5,
author = {Zofia St\k epie\'n and Aleksy Tralle},
title = {A Note on Hamiltonian Lie Group Actions and Massey Products},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
volume = {52},
year = {2004},
pages = {141-149},
zbl = {1104.53082},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba52-2-5}
}
Zofia Stępień; Aleksy Tralle. A Note on Hamiltonian Lie Group Actions and Massey Products. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 52 (2004) pp. 141-149. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba52-2-5/