Volume 5, issue 4 (2005)

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

Volume 18
Issue 4, 1883–2507
Issue 3, 1259–1881
Issue 2, 635–1258
Issue 1, 1–633

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Subscriptions
Editorial Board
Editorial Interests
Editorial Procedure
Submission Guidelines
Submission Page
Author Index
To Appear
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Surgery and involutions on 4–manifolds

Vyacheslav S Krushkal

Algebraic & Geometric Topology 5 (2005) 1719–1732

arXiv: math.GT/0505394

Abstract

We prove that the canonical 4–dimensional surgery problems can be solved after passing to a double cover. This contrasts the long-standing conjecture about the validity of the topological surgery theorem for arbitrary fundamental groups (without passing to a cover). As a corollary, the surgery conjecture is reformulated in terms of the existence of free involutions on a certain class of 4–manifolds. We consider this question and analyze its relation to the A,B–slice problem.

Keywords
4–manifolds, surgery, involutions
Mathematical Subject Classification 2000
Primary: 57N13
Secondary: 57M10, 57M60
References
Forward citations
Publication
Received: 17 May 2005
Accepted: 2 December 2005
Published: 17 December 2005
Authors
Vyacheslav S Krushkal
Department of Mathematics
University of Virginia
Charlottesville VA 22904
USA