Stein Manifolds and Holomorphic Mappings (2^nd Ed., Softcover reprint of the original 2nd ed. 2017) The Homotopy Principle in Complex Analysis Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics Series, Vol. 56

Part I Stein Manifolds.- 1 Preliminaries.- 2 Stein Manifolds.- 3 Stein Neighborhoods and Approximation.- 4 Automorphisms of Complex Euclidean Spaces.- Part II Oka Theory.- 5 Oka Manifolds.- 6 Elliptic Complex Geometry and Oka Theory.- 7 Flexibility Properties of Complex Manifolds and Holomorphic Maps.- Part III Applications.- 8 Applications of Oka Theory and its Methods.- 9 Embeddings, Immersions and Submersions.- 10 Topological Methods in Stein Geometry.- References.- Index.

Franc Forstneric has published more than a hundred research and survey papers in complex analysis and geometry, including several in leading mathematical journals such as the Annals of Math., Acta Math., Inventiones Math., Duke Math. J., J. Eur. Math. Soc., Amer. J. Math., and others.

He held long term teaching and research positions at the

University of Wisconsin-Madison (Madison, USA),

Centre for Advanced Study (Oslo, Norway),

Institut Mittag-Leffler (Stockholm, Sweden),

Max Planck Institute (Bonn, Germany),

as well as visiting positions at more than ten other institutions. He was an invited speaker at over a hundred international conferences and workshops.

Contains a complete and up-to-date account of Oka theory, including the Oka-Grauert theory

Introduces the theory of holomorphic automorphisms of complex Euclidean spaces in detail

Presents numerous applications, ranging from classical to contemporary

Includes supplementary material: sn.pub/extras