Immersions of Surfaces in Spinc-Manifolds with a Generic Positive Spinor |
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| Authors: | Andrzej Derdzinski Tadeusz Januszkiewicz |
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| Institution: | (1) Department of Mathematics, Ohio State University, Columbus, OH, 43210, U.S.A.;(2) Mathematical Institute, Wroc aw University, Wrocaw, Poland;;(3) Mathematical Institute, Polish Academy of Sciences, Poland |
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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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| Keywords: | spinc-structure totally real immersion pseudoholomorphic immersion |
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