Displaying similar documents to “Hofer–Zehnder capacity of unit disk cotangent bundles and the loop product”

Fat bundles and formality

Wojciech Andrzejewski, Aleksy Tralle (1997)

Annales Polonici Mathematici

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We prove the formality property of total spaces of fat bundles over compact homogeneous spaces. Some rational homotopy obstructions to fatness are obtained.

Symplectic groups are N-determined 2-compact groups

Aleš Vavpetič, Antonio Viruel (2006)

Fundamenta Mathematicae

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We show that for n ≥ 3 the symplectic group Sp(n) is as a 2-compact group determined up to isomorphism by the isomorphism type of its maximal torus normalizer. This allows us to determine the integral homotopy type of Sp(n) among connected finite loop spaces with maximal torus.