A Note on Hamiltonian Lie Group Actions and Massey Products

• Autorzy: Zofia Stępień , Aleksy Tralle
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 53C15: General geometric structures on manifolds (almost complex, almost product structures, etc.)
• 55P62: Rational homotopy theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2004
• Tom: 52
• Numer: 2
• Strony: 141-149

Daty

wydano

2004

Twórcy

autor

Zofia Stępień

• Szczecin Technical University, Al. Piastów 38, 70-323 Szczecin, Poland

autor

Aleksy Tralle

• University of Warmia and Mazury, Żołnierska 14A, 10-561 Olsztyn, Poland

Identyfikatory

DOI

10.4064/ba52-2-5