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arXiv · 2203.03494

Constructing Group-Invariant CR Mappings

Jennifer Brooks·Sean Curry·Dusty Grundmeier·Purvi Gupta·Valentin Kunz·Alekzander Malcom·Kevin Palencia
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Abstract

We construct CR mappings between spheres that are invariant under actions of finite unitary groups. In particular, we combine a tensoring procedure with D'Angelo's construction of a canonical group-invariant CR mapping to obtain new invariant mappings. We also explore possible gap phenomena in this setting.

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Jennifer Brooks, Sean Curry, Dusty Grundmeier, Purvi Gupta, Valentin Kunz, Alekzander Malcom, Kevin Palencia. 2022-03-07. Constructing Group-Invariant CR Mappings. https://arxiv.org/abs/2203.03494

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