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The ($ n+1$)-Lipschitz homotopy group of the Heisenberg group $ \mathbb{H}^n$


Author: Piotr Hajłasz
Journal: Proc. Amer. Math. Soc. 146 (2018), 1305-1308
MSC (2010): Primary 53C17; Secondary 55Q40
DOI: https://doi.org/10.1090/proc/13811
Published electronically: October 6, 2017
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Abstract: We prove that for $ n\geq 2$, the Lipschitz homotopy group $ \pi _{n+1}^{\rm {Lip}}(\mathbb{H}^n)$
$ \neq 0$ of the Heisenberg group $ \mathbb{H}^n$ is nontrivial.


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Additional Information

Piotr Hajłasz
Affiliation: Department of Mathematics, University of Pittsburgh, 301 Thackeray Hall, Pittsburgh, Pennsylvania 15260
Email: hajlasz@pitt.edu

DOI: https://doi.org/10.1090/proc/13811
Keywords: Heisenberg group, Lipschitz homotopy groups
Received by editor(s): March 26, 2017
Received by editor(s) in revised form: May 2, 2017
Published electronically: October 6, 2017
Additional Notes: The author was supported by NSF grant DMS-1500647
Communicated by: Jeremy Tyson
Article copyright: © Copyright 2017 American Mathematical Society

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