Homotopy Groups of Spheres and Lipschitz Homotopy Groups of Heisenberg Groups

  • PIOTR HAJ LASZ, ARMIN SCHIKORRA, JEREMY T. TYSON
  • Published 2013

Abstract

We provide a sufficient condition for the nontriviality of the Lipschitz homotopy group of the Heisenberg group, π m (Hn), in terms of properties of the classical homotopy group of the sphere, πm(S). As an application we provide a new simplified proof of the fact that π n (Hn) 6= {0}, n = 1, 2, . . . and we prove a new result that π 4n−1(H2n) 6= {0} for n… (More)

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