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Immersions of Surfaces in Spinc-Manifolds with a Generic Positive Spinor

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Abstract

We define and discuss totally real and pseudoholomorphic immersions of real surfaces in a 4-manifold which, instead of an almost complex structure, carries only a “framed spinc-structure,” that is, a spinc-structure with a fixed generic section of its positive half-spinor bundle. In particular, we describe all pseudoholomorphic immersions of closed surfaces in the 4-sphere with a standard framed spin structure.

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Authors and Affiliations

  1. Department of Mathematics, Ohio State University, Columbus, OH, 43210, U.S.A.

    Andrzej Derdzinski & Tadeusz Januszkiewicz

  2. Mathematical Institute, Wrocław University, Wrocław, Poland;

    Tadeusz Januszkiewicz

  3. Mathematical Institute, Polish Academy of Sciences, Poland

    Tadeusz Januszkiewicz

Authors
  1. Andrzej Derdzinski
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  2. Tadeusz Januszkiewicz
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Derdzinski, A., Januszkiewicz, T. Immersions of Surfaces in Spinc-Manifolds with a Generic Positive Spinor. Annals of Global Analysis and Geometry 26, 175–199 (2004). https://doi.org/10.1023/B:AGAG.0000031163.94882.de

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  • DOI: https://doi.org/10.1023/B:AGAG.0000031163.94882.de

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