Geodesic
A Note on Hamiltonian Lie Group Actions and Massey Products
Zofia Stępień 1   ; Aleksy Tralle 2
1 Szczecin Technical University Al. Piastów 38 70-323 Szczecin, Poland
2 University of Warmia and Mazury /Zołnierska 14A 10-561 Olsztyn, Poland
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 52 (2004) no. 2, pp. 141-149 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/ba52-2-5
Keywords: property having only vanishing triple massey products equivariant cohomology inherited set fixed points hamiltonian circle actions closed symplectic manifolds result considered general context characterizing homotopic properties lie group actions particular viewed partial answer question posed allday puppe about finding conditions ensuring formality g actions

Zofia Stępień  1   ; Aleksy Tralle  2

1 Szczecin Technical University Al. Piastów 38 70-323 Szczecin, Poland
2 University of Warmia and Mazury /Zołnierska 14A 10-561 Olsztyn, Poland 
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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) no. 2, pp. 141-149. doi: 10.4064/ba52-2-5

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