A Course on Holomorphic Discs (Birkh user Advanced Texts Basler Lehrb cher) free ebook download.

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A Course on Holomorphic Discs (Birkh user Advanced Texts Basler Lehrb cher) free ebook download

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Author(s):	Hansjorg Geiges

Date:	2021	Format:	pdf	Language:	English	ISBN/ASIN:	303136063X
Pages:	207	OCR:		Quality:		ISBN13:
Uploader:	alex21s	Upload Date:	7/31/2023 12:20:09 PM

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This textbook, based on a one-semester course taught several times by the authors, provides a self-contained, comprehensive yet concise introduction to the theory of pseudoholomorphic curves. Gromovs nonsqueezing theorem in symplectic topology is taken as a motivating example, and a complete proof using pseudoholomorphic discs is presented. A sketch of the proof is discussed in the first chapter, with succeeding chapters guiding the reader through the details of the mathematical methods required to establish compactness, regularity, and transversality results. Concrete examples illustrate many of the more complicated concepts, and well over 100 exercises are distributed throughout the text. This approach helps the reader to gain a thorough understanding of the powerful analytical tools needed for the study of more advanced topics in symplectic topology.
This text can be used as the basis for a graduate course, and it is also immensely suitable for independent study. Prerequisites include complex analysis, differential topology, and basic linear functional analysis  no prior knowledge of symplectic geometry is assumed.
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3188914	Book	https://rapidgator.net/file/90fd041c97d4...		0.00	alex21s

Tags: Advanced Basler Birkh cher Course Discs Holomorphic Lehrb Texts user

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