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2018 Compact Stein surfaces as branched covers with same branch sets
Takahiro Oba
Algebr. Geom. Topol. 18(3): 1733-1751 (2018). DOI: 10.2140/agt.2018.18.1733

Abstract

For each integer N 2 , we construct a braided surface S ( N ) in D 4 and simple branched covers of D 4 branched along S ( N ) such that the covers have the same degrees and are mutually diffeomorphic, but Stein structures associated to the covers are mutually not homotopic. As a corollary, for each integer N 2 , we also construct a transverse link L ( N ) in the standard contact 3 –sphere and simple branched covers of S 3 branched along L ( N ) such that the covers have the same degrees and are mutually diffeomorphic, but contact manifolds associated to the covers are mutually not contactomorphic.

Citation

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Takahiro Oba. "Compact Stein surfaces as branched covers with same branch sets." Algebr. Geom. Topol. 18 (3) 1733 - 1751, 2018. https://doi.org/10.2140/agt.2018.18.1733

Information

Received: 18 April 2017; Revised: 20 July 2017; Accepted: 19 September 2017; Published: 2018
First available in Project Euclid: 26 April 2018

zbMATH: 06866411
MathSciNet: MR3784017
Digital Object Identifier: 10.2140/agt.2018.18.1733

Subjects:
Primary: 57M12, 57R17
Secondary: 32Q28, 57R65

Rights: Copyright © 2018 Mathematical Sciences Publishers

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Vol.18 • No. 3 • 2018
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