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Quasiregularly elliptic link complements

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Abstract

We show that the only quasiregularly elliptic link complements are complements of the unknot and the Hopf link. The proof of non-existence of other link complements is obtained from a Varopoulos type theorem for open manifolds.

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Correspondence to Pekka Pankka.

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Pekka Pankka and Kai Rajala were supported by the Academy of Finland and P.P. by NSF grant DMS-0757732. Part of this research was done when P.P. was visiting University of Jyväskylä. He wishes to thank the department for the hospitality.

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Pankka, P., Rajala, K. Quasiregularly elliptic link complements. Geom Dedicata 154, 1–8 (2011). https://doi.org/10.1007/s10711-010-9564-x

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