Abstract
Based on locally compact perturbations of the identity map similar to the Fredholm structures on real Banach manifolds, complex manifolds with inverse mapping theorem as part of the defintion are proposed. Standard topics including holomorphic maps, morphisms, derivatives, tangent bundles, product manifolds and submanifolds are presented. Although this framework is elementary, it lays the necessary foundation for all subsequent developments.
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This paper is a talk on the «International conference at Analysis in Theory and Applications» held in Nanjing, P. R. China, July, 2004.
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Ma, TW. Holomorphic manifolds on locally convex spaces. Anal. Theory Appl. 21, 339–358 (2005). https://doi.org/10.1007/BF02836856
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DOI: https://doi.org/10.1007/BF02836856