Volume 17, issue 3 (2017)

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Equivariant corks

Dave Auckly, Hee Jung Kim, Paul Melvin and Daniel Ruberman

Algebraic & Geometric Topology 17 (2017) 1771–1783
Abstract

For any finite subgroup G of SO(4), we construct a contractible 4–manifold C, with an effective G–action on its boundary, that can be embedded in a closed 4–manifold so that cutting C out and regluing using distinct elements of G will always yield distinct smooth 4–manifolds.

Keywords
corks, smooth structures on 4-manifolds
Mathematical Subject Classification 2010
Primary: 57M99
Secondary: 57R55
References
Publication
Received: 20 April 2016
Revised: 14 September 2016
Accepted: 22 September 2016
Published: 17 July 2017
Authors
Dave Auckly
Department of Mathematics
Kansas State University
Manhattan, KS 66506
United States
http://www.math.ksu.edu/~dav/
Hee Jung Kim
Department of Mathematical Sciences
Seoul National University
Seoul 151-747
South Korea
http://www.math.uga.edu/directory/hee-jung-kim
Paul Melvin
Department of Mathematics
Bryn Mawr College
Bryn Mawr, PA 19010
United States
http://www.brynmawr.edu/math/people/melvin/
Daniel Ruberman
Department of Mathematics
Brandeis University
MS 050
Waltham, MA 02454
United States
http://people.brandeis.edu/~ruberman/