Del i serien Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics

Stein Manifolds and Holomorphic Mappings

The Homotopy Principle in Complex Analysis

Inbunden, Engelska, 2011

AvFranc Forstnerič

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The main theme of this book is the homotopy principle for holomorphic mappings from Stein manifolds to the newly introduced class of Oka manifolds. The book contains the first complete account of Oka-Grauert theory and its modern extensions, initiated by Mikhail Gromov and developed in the last decade by the author and his collaborators. Included is the first systematic presentation of the theory of holomorphic automorphisms of complex Euclidean spaces, a survey on Stein neighborhoods, connections between the geometry of Stein surfaces and Seiberg-Witten theory, and a wide variety of applications ranging from classical to contemporary.

Produktinformation

Utgivningsdatum2011-08-28
Mått155 x 235 x undefined mm
Vikt916 g
FormatInbunden
SpråkEngelska
SerieErgebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
Antal sidor492
Upplaga2011
FörlagSpringer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN9783642222498

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Beräkning och matematisk analys inom Naturvetenskap och teknik

Franc Forstneric has published close to eighty 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., Amer. J. Math., Math. Ann., and others. He held long term teaching and research positions at the University of Wisconsin-Madison (Madison, USA), 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 70 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 of the Republic of Slovenia

From the reviews: "The main focus of the book is the theory of the Oka principle, which has been extensively developed in the past decade following a seminal paper of Gromov in 1989. ... The book can serve as a textbook for advanced graduate students specialising in complex geometry, as a reference for researchers in the field, and as an accessible resource for people in related areas. The book truly fills a gap in the literature. ... a standard reference for years to come." (Finnur Larusson, Mathematical Reviews, May, 2013)