A Note on Hamiltonian Lie Group Actions and Massey Products

Volume 52 / 2004

Zofia Stępień, Aleksy Tralle 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.

Authors

  • Zofia StępieńSzczecin Technical University
    Al. Piastów 38
    70-323 Szczecin, Poland
    e-mail
  • Aleksy TralleUniversity of Warmia and Mazury
    /Zołnierska 14A
    10-561 Olsztyn, Poland
    e-mail

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