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Deformations and transversality of pseudo-holomorphic discs

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Abstract

We prove analogs of Thom’s transversality theorem and Whitney’s theorem on immersions for pseudo-holomorphic discs. We also prove that pseudoholomorphic discs form a Banach manifold.

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Authors and Affiliations

  1. Laboratoire Paul Painlevé, Université des Sciences et Technologies de Lille U.F.R. de Mathématique, 59655, Villeneuve d’Ascq Cedex, France

    Alexandre Sukhov

  2. Department of Mathematics, University of Illinois, 1409 West Green Street, Urbana, IL, 61801, USA

    Alexander Tumanov

Authors
  1. Alexandre Sukhov
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  2. Alexander Tumanov
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Correspondence to Alexandre Sukhov.

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Sukhov, A., Tumanov, A. Deformations and transversality of pseudo-holomorphic discs. JAMA 116, 1–16 (2012). https://doi.org/10.1007/s11854-012-0001-y

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  • DOI: https://doi.org/10.1007/s11854-012-0001-y

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