Infinite order corks

Gompf, Robert

doi:10.2140/gt.2017.21.2475

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Infinite order corks

Robert E Gompf

Geometry & Topology 21 (2017) 2475–2484

DOI: 10.2140/gt.2017.21.2475

Abstract

We construct a compact, contractible 4–manifold $C$ , an infinite order self-diffeomorphism $f$ of its boundary, and a smooth embedding of $C$ into a closed, simply connected 4–manifold $X$ , such that the manifolds obtained by cutting $C$ out of $X$ and regluing it by powers of $f$ are all pairwise nondiffeomorphic. The manifold $C$ can be chosen from among infinitely many homeomorphism types, all obtained by attaching a 2–handle to the meridian of a thickened knot complement.

Keywords

cork, h-v-cobordism, 4–manifold

Mathematical Subject Classification 2010

Primary: 57N13, 57R55

References

Publication

Received: 4 April 2016

Accepted: 19 September 2016

Published: 19 May 2017

Proposed: Rob Kirby

Seconded: Ciprian Manolescu, András I. Stipsicz

Authors

Robert E Gompf
Department of Mathematics The University of Texas at Austin RLM 8.100 2515 Speedway Stop C1200 Austin, TX 78712-1202 United States

Volume 21, issue 4 (2017)