A note on hamiltonian Lie group actions and Massey products

Details A note on hamiltonian Lie group actions and Massey products A note on hamiltonian Lie group actions and Massey products

2002-07-05

arxiv.org/abs/math/0207056v1

Bull. Polish Acad. Sci. Math. 52(2004), 141-149

Mathematics

Differential Geometry

7 pages, AMSTeX

Scientific paper

In this note we show that the property of having only vanishing triple Massey products in the 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 the Allday-Puppe question about finding conditions ensuring the "formality" of G-actions.

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