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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

Cohomology Class Symplectic Manifold Symplectic Structure Equivariant Cohomology Euler Class 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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