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On the geography of symplectic 6-manifolds

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Abstract:

The article investigates the geography of closed, connected and simply connected, six-dimensional manifolds. It is proved that any triple of integers satisfying some necessary arithmetical restrictions occurs as the Chern triple of such a manifold. The main tools used for producing the examples are the symplectic connected sum and the symplectic blow-up.

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Authors and Affiliations

  1. Laboratoire de Mathématiques, Institut Fourier, UMR 5582 CNRS-UJF, Université Joseph Fourier, F-38402 Saint Martin d'Hères Cedex, France.¶e-mail: halic@ujf-grenoble.fr, , , , , , FR

    Mihai Halic

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  1. Mihai Halic
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Received: 28 May 1998 / Revised version: 22 January 1999

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Halic, M. On the geography of symplectic 6-manifolds. manuscripta math. 99, 371–381 (1999). https://doi.org/10.1007/s002290050179

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  • DOI: https://doi.org/10.1007/s002290050179

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