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March 2021 Notes on Gompf’s Infinite Order Corks
Motoo Tange
Michigan Math. J. 70(1): 3-21 (March 2021). DOI: 10.1307/mmj/1586419413

Abstract

For any positive integer n, we give a Zn-cork with a Zn-effective embedding in a 4-manifold being homeomorphic to E(n). This means that a cork gives a subset Zn in the differential structures on E(n). Further, we describe handle decompositions of the twisted doubles (homotopy S4) of Gompf’s infinite order cork and show that they are log transforms of S4.

Citation

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Motoo Tange. "Notes on Gompf’s Infinite Order Corks." Michigan Math. J. 70 (1) 3 - 21, March 2021. https://doi.org/10.1307/mmj/1586419413

Information

Received: 27 October 2018; Revised: 24 January 2019; Published: March 2021
First available in Project Euclid: 9 April 2020

Digital Object Identifier: 10.1307/mmj/1586419413

Subjects:
Primary: 57R55 , 57R65

Rights: Copyright © 2021 The University of Michigan

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Vol.70 • No. 1 • March 2021
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