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Constructions of Generalized Complex Structures in Dimension Four

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Abstract

In this note, four-manifold theory is employed to study generalized complex structures. We drastically enlarge the number of available known examples of generalized complex four-manifolds by building on recent constructions of different smooth structures. Generalized complex structures that have multiple type change loci are constructed.

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Authors and Affiliations

  1. Mathematical Institute, University of Oxford, 24-29 St. Giles, Oxford, OX1 3LB, UK

    Rafael Torres

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  1. Rafael Torres
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Correspondence to Rafael Torres.

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Communicated by A. Connes

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Torres, R. Constructions of Generalized Complex Structures in Dimension Four. Commun. Math. Phys. 314, 351–371 (2012). https://doi.org/10.1007/s00220-012-1528-6

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  • DOI: https://doi.org/10.1007/s00220-012-1528-6

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