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Equivariant corks
Dave Auckly, Hee Jung Kim, Paul Melvin and Daniel Ruberman |
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Algebraic & Geometric Topology 17 (2017) 1771–1783
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Abstract |
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For any finite subgroup of , we construct a contractible –manifold , with an effective –action on its boundary, that can be embedded in a closed –manifold so that cutting out and regluing using distinct elements of will always yield distinct smooth –manifolds. |
Keywords
corks, smooth structures on 4-manifolds
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Mathematical Subject Classification 2010
Primary: 57M99
Secondary: 57R55
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References |
Publication
Received: 20 April 2016
Revised: 14 September 2016
Accepted: 22 September 2016
Published: 17 July 2017
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Authors |
| Dave Auckly | |
| Department of Mathematics Kansas State University Manhattan, KS 66506 United States |
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| http://www.math.ksu.edu/~dav/ | |
| Hee Jung Kim | |
| Department of Mathematical
Sciences Seoul National University Seoul 151-747 South Korea |
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| http://www.math.uga.edu/directory/hee-jung-kim | |
| Paul Melvin | |
| Department of Mathematics Bryn Mawr College Bryn Mawr, PA 19010 United States |
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| http://www.brynmawr.edu/math/people/melvin/ | |
| Daniel Ruberman | |
| Department of Mathematics Brandeis University MS 050 Waltham, MA 02454 United States |
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| http://people.brandeis.edu/~ruberman/ | |
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