A Note on Hamiltonian Lie Group Actions and Massey Products

Zofia Stępień, and Aleksy Tralle. "A Note on Hamiltonian Lie Group Actions and Massey Products." Bulletin of the Polish Academy of Sciences. Mathematics 52.2 (2004): 141-149. <http://eudml.org/doc/280592>.

@article{ZofiaStępień2004,
abstract = {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.},
author = {Zofia Stępień, Aleksy Tralle},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {Hamiltonian circle actions; Massey product},
language = {eng},
number = {2},
pages = {141-149},
title = {A Note on Hamiltonian Lie Group Actions and Massey Products},
url = {http://eudml.org/doc/280592},
volume = {52},
year = {2004},
}

TY - JOUR
AU - Zofia Stępień
AU - Aleksy Tralle
TI - A Note on Hamiltonian Lie Group Actions and Massey Products
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2004
VL - 52
IS - 2
SP - 141
EP - 149
AB - 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.
LA - eng
KW - Hamiltonian circle actions; Massey product
UR - http://eudml.org/doc/280592
ER -