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arXiv · 1904.00885

Bubbling of quasiregular maps

Pekka Pankka·Juan Souto
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Abstract

We give a version of Gromov's compactess theorem for pseudoholomorphic curves in the case of quasiregular mappings between closed manifolds. More precisely we show that, given $K\ge 1$ and $D\ge 1$, any sequence $(f_n \colon M \to N)$ of $K$-quasiregular mappings of degree $D$ between closed Riemannian $d$-manifolds has a subsequence which converges to a $K$-quasiregular mapping $f\colon X\to N$ of degree $D$ on a nodal $d$-manifold $X$.

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Pekka Pankka, Juan Souto. 2019-04-01. Bubbling of quasiregular maps. https://arxiv.org/abs/1904.00885

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