A Note on Symplectic Circle Actions and Massey Products

  • Zofia Stepień
  • Aleksy Tralle
Conference paper
Part of the NATO Science Series book series (NAII, volume 179)

In this note we show that the property of having only vanishing Massey products in the equivariant cohomology is inherited by the set of fixed points of symplectic circle actions on closed symplectic manifolds. This result can be considered in a more general context of characterizing homotopic properties of symplectic Lie group actions.

Keywords: Symplectic circle action, Massey product

Keywords

Manifold Kirwan 

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Copyright information

© Springer 2004

Authors and Affiliations

  • Zofia Stepień
    • 1
  • Aleksy Tralle
    • 2
  1. 1.Institute of MathematicsSzczecin Technical UniversityPoland
  2. 2.Department of Mathematics and Information TechnologyUniversity of Warmia and MazuryPoland

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