A Note on Hamiltonian Lie Group Actions and Massey Products
Volume 52 / 2004
Bulletin Polish Acad. Sci. Math. 52 (2004), 141-149
MSC: 53C15, 55P62.
DOI: 10.4064/ba52-2-5
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.
