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Handle decompositions of simply connected five-manifolds. III

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Abstract

We prove the existence of exact handle decomposition of a simply connected smooth or piecewise linear (PL) five-manifold with a standard simply connected boundary of signature zero, the triviality of a five-dimensionalh-cobordism with ends of such type, and the uniqueness up to diffeomorphism (PL-isomorphism) of a smooth (PL)h-cobordism between a given simply connected four-manifold and the corresponding standard manifold.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    Yu. A. Shkol'nikov

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  1. Yu. A. Shkol'nikov
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Published in Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 7, pp. 935–940, July, 1994.

This work was partially supported by International Science Foundation, Grant No. U6F000.

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Shkol'nikov, Y.A. Handle decompositions of simply connected five-manifolds. III. Ukr Math J 46, 1025–1030 (1994). https://doi.org/10.1007/BF01056679

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  • DOI: https://doi.org/10.1007/BF01056679

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