Stein Manifolds and Holomorphic Mappings

The Homotopy Principle in Complex Analysis

Inbunden, Engelska, 2017

Av Franc Forstnerič, Franc Forstneric, Franc Forstnerič, Franc Forstneri¿

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The theme of this book is an examination of the homotopy principle for holomorphic mappings from Stein manifolds to the newly introduced class of Oka manifolds, offering the first complete account of Oka-Grauert theory and its modern extensions.

Produktinformation

Utgivningsdatum2017-09-13
Mått155 x 235 x 37 mm
Vikt1 008 g
FormatInbunden
SpråkEngelska
SerieErgebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
Antal sidor562
Upplaga2
FörlagSpringer International Publishing AG
ISBN9783319610573
OriginaltitelStein Manifolds and Holomorphic Mappings

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Beräkning och matematisk analys inom Naturvetenskap och teknik

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 theUniversity 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.Since 2000 he is a Professor of Mathematics at the University of Ljubljana and is a member of the Academy of Sciences and Arts of the Republic of Slovenia.

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.