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Recognizing products of surfaces and simply...
Journal article

Recognizing products of surfaces and simply connected 4 4 -manifolds

Abstract

We give necessary and sufficient conditions for a closed smooth 6 6 -manifold N N to be diffeomorphic to a product of a surface F F and a simply connected 4 4 -manifold M M in terms of basic invariants like the fundamental group and cohomological data. Any isometry of the intersection form of M M is realized by a self-diffeomorphism of M × F M \times F .

Authors

Hambleton I; Kreck M

Journal

Proceedings of the American Mathematical Society, Vol. 143, No. 5, pp. 2253–2262

Publisher

American Mathematical Society (AMS)

Publication Date

January 1, 2015

DOI

10.1090/s0002-9939-2014-12425-7

ISSN

0002-9939

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