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      Non-existence theorems on infinite order corks

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          Abstract

          Suppose that \(X,X'\) are simply connected closed exotic 4-manifolds. It is well-known that \(X'\) is obtained by an order 2 cork twist of \(X\). We show that in the case of infinite order cork, this existence theorem does not always hold.

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          Author and article information

          Journal
          2016-09-14
          2016-09-26
          Article
          1609.04344
          d977f2fd-2fbe-4ec9-a967-7f7aa200fd70

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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          Custom metadata
          57R55, 57R65
          10 pages, 4 figures
          math.GT

          Geometry & Topology
          Geometry & Topology

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