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On the Number of Type Change Loci of a Generalized Complex Structure

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Abstract

In this note, we describe a procedure to construct generalized complex structures whose type change locus has arbitrarily many path components on products of the circle with a connected sum of closed 3-manifolds. As an application, we use the procedure to exhibit such geometric structures on a myriad of simply connected 4-manifolds among many others.

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Authors and Affiliations

  1. Mathematical Institute, University of Oxford, Andrew Wiles Building, Radcliffe Observatory Quarter, Woodstock Road, Oxford, OX2 6GG, UK

    Rafael Torres

  2. Scuola Internazionale Superiori di Studi Avanzati, Via Bonomea 265, 34136, Trieste, Italy

    Rafael Torres

  3. Department of Mathematics and Statistics, McMaster University, 1280 Main Street West, Hamilton, ON, L8S 4K1, Canada

    Jonathan Yazinski

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  1. Rafael Torres
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  2. Jonathan Yazinski
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Correspondence to Rafael Torres.

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Torres, R., Yazinski, J. On the Number of Type Change Loci of a Generalized Complex Structure. Lett Math Phys 104, 451–464 (2014). https://doi.org/10.1007/s11005-013-0674-x

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  • DOI: https://doi.org/10.1007/s11005-013-0674-x

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