Volume 21, issue 4 (2017)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 22
Issue 5, 2511–3144
Issue 4, 1893–2510
Issue 3, 1267–1891
Issue 2, 645–1266
Issue 1, 1–644

Volume 21, 6 issues

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the Journal
Subscriptions
Editorial Board
Editorial Interests
Editorial Procedure
Submission Guidelines
Submission Page
Author Index
To Appear
ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
Infinite order corks

Robert E Gompf

Geometry & Topology 21 (2017) 2475–2484
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