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\(\overline{\partial}\)-free maps satisfy the homotopy principle

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Publication:1279770
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DOI10.1016/S0019-3577(97)87569-6zbMath0936.32009MaRDI QIDQ1279770

Boris Zalmanovich Shapiro

Publication date: 14 May 2000

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)


zbMATH Keywords

homotopy equivalenceconvex integration


Mathematics Subject Classification ID

Jets in global analysis (58A20) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Holomorphic maps on manifolds (58C10) Holomorphic functions of several complex variables (32A10) Spaces and manifolds of mappings (including nonlinear versions of 46Exx) (58D99)




Cites Work

  • Unnamed Item
  • Symplectic leaves of the Gel'fand-Dikij brackets and homotopy classes of nondegenerate curves
  • Applications of convex integration to symplectic and contact geometry
  • Nondegenerate curves on \(S^ 2\) and orbit classification of the Zamolodchikov algebra
  • Topology of the space of nondegenerate curves
  • Affine Gelfand-Dickey brackets and holomorphic vector bundles
  • On the number of connected components in the space of closed nondegenerate curves on 𝑆_{𝑛}
  • Partial Differential Relations


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