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The author recently proved the existence of an infinite order cork: a compact, contractible submanifold C of a 4–manifold and an infinite order diffeomorphism f of ∂C such that cutting out C and regluing it by distinct powers of f yields pairwise nondiffeomorphic manifolds. The present paper exhibits the first handle diagrams of this phenomenon, by translating the earlier proof into this language (for each of the infinitely many corks arising in the first paper). The cork twists in these papers are twists on incompressible tori. We give conditions guaranteeing that such twists do not change the diffeomorphism type of a 4–manifold, partially answering a question from the original paper. We also show that the “δ–moves” recently introduced by Akbulut are essentially equivalent to torus twists.
Keywords: cork, h-cobordism, 4-manifold
Gompf, Robert 1
@article{10_2140_agt_2017_17_2863,
author = {Gompf, Robert},
title = {Infinite order corks via handle diagrams},
journal = {Algebraic and Geometric Topology},
pages = {2863--2891},
publisher = {mathdoc},
volume = {17},
number = {5},
year = {2017},
doi = {10.2140/agt.2017.17.2863},
url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2017.17.2863/}
}
TY - JOUR AU - Gompf, Robert TI - Infinite order corks via handle diagrams JO - Algebraic and Geometric Topology PY - 2017 SP - 2863 EP - 2891 VL - 17 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.2140/agt.2017.17.2863/ DO - 10.2140/agt.2017.17.2863 ID - 10_2140_agt_2017_17_2863 ER -
Gompf, Robert. Infinite order corks via handle diagrams. Algebraic and Geometric Topology, Tome 17 (2017) no. 5, pp. 2863-2891. doi: 10.2140/agt.2017.17.2863
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