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2008 Smooth surfaces with non-simply-connected complements
Hee Jung Kim, Daniel Ruberman
Algebr. Geom. Topol. 8(4): 2263-2287 (2008). DOI: 10.2140/agt.2008.8.2263

Abstract

We consider two constructions of surfaces in simply-connected 4–manifolds with non simply-connected complements. One is an iteration of the twisted rim surgery introduced by the first author [Geom. Topol. 10 (2006) 27–56]. We also construct, for any group G satisfying some simple conditions, a simply-connected symplectic manifold containing a symplectic surface whose complement has fundamental group G. In each case, we produce infinitely many smoothly inequivalent surfaces that are equivalent up to smooth s–cobordism and hence are topologically equivalent for good groups.

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Hee Jung Kim. Daniel Ruberman. "Smooth surfaces with non-simply-connected complements." Algebr. Geom. Topol. 8 (4) 2263 - 2287, 2008. https://doi.org/10.2140/agt.2008.8.2263

Information

Received: 19 May 2008; Revised: 8 November 2008; Accepted: 29 September 2008; Published: 2008
First available in Project Euclid: 20 December 2017

zbMATH: 1190.57019
MathSciNet: MR2465741
Digital Object Identifier: 10.2140/agt.2008.8.2263

Subjects:
Primary: 57R57
Secondary: 57N13

Rights: Copyright © 2008 Mathematical Sciences Publishers

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