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Trivializing 5-dimensional h-cobordisms by stabilization

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Abstract

It is shown that if (W5,M,M′) is an h-cobordism, then the stabilization of W formed by taking boundary connected sum with enough copies of S2×D3 is diffeomorphic to the boundary connected sum of M×I with these copies of S2×D3. When M is bounded, stabilization leads to a product structure. A key step is a proof of the stabilized 5-dimensional s-cobordism conjecture.

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This research was supported in part by an NSF grant.

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Lawson, T. Trivializing 5-dimensional h-cobordisms by stabilization. Manuscripta Math 29, 305–321 (1979). https://doi.org/10.1007/BF01303633

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  • DOI: https://doi.org/10.1007/BF01303633

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