Infinite order corks

Gompf, Robert¹

¹ Department of Mathematics, The University of Texas at Austin, RLM 8.100, 2515 Speedway Stop C1200, Austin, TX 78712-1202, United States

Geometry & topology, Tome 21 (2017) no. 4, pp. 2475-2484.

Résumé

We construct a compact, contractible 4–manifold $C$, an infinite order self-diffeomorphism $f$ of its boundary, and a smooth embedding of $C$ into a closed, simply connected 4–manifold $X$, such that the manifolds obtained by cutting $C$ out of $X$ and regluing it by powers of $f$ are all pairwise nondiffeomorphic. The manifold $C$ can be chosen from among infinitely many homeomorphism types, all obtained by attaching a 2–handle to the meridian of a thickened knot complement.

Détail

DOI : 10.2140/gt.2017.21.2475

Classification : 57N13, 57R55
Keywords: cork, h-v-cobordism, 4–manifold

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