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On
the nonexistence of certain branched covers
Pekka Pankka and Juan Souto |
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Geometry & Topology 16 (2012) 1321–1344
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Abstract |
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We prove that while there are maps of arbitrarily large degree, there is no branched cover from the –torus to . More generally, we obtain that, as long as a closed manifold satisfies a suitable cohomological condition, any –surjective branched cover is a homeomorphism. This article is incorrect. Text of retraction received 14 February 2019 |
Keywords
branched cover, quasiregularly elliptic manifold
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Mathematical Subject Classification 2010
Primary: 57M12
Secondary: 30C65, 57R19
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Supplementary material |
References |
Publication
Received: 25 January 2011
Revised: 27 January 2012
Accepted: 2 February 2012
Published: 10 July 2012
Proposed: David Gabai
Seconded: Benson Farb, Ronald Fintushel
Retracted: 14 February 2019
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Authors |
| Pekka Pankka | |
| Department of Mathematics and
Statistics University of Helsinki PO Box 68 (Gustaf Hällströmin katu 2b) FI-00014 Helsinki Finland |
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| http://www.helsinki.fi/~pankka | |
| Juan Souto | |
| Mathematics Department University of British Columbia 1984 Mathematics Road Vancouver BC V6T 1Z2 Canada |
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| http://www.math.ubc.ca/~jsouto | |
