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Symplectic Manifolds with no Kaehler structure

  • Book
  • © 1997

Overview

Authors:
  1. Aleksy Tralle
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  2. John Oprea
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    You can also search for this author in PubMed   Google Scholar

Part of the book series: Lecture Notes in Mathematics (LNM, volume 1661)

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-viii
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  2. The starting point: Homotopy properties of kähler manifolds

    • Aleksy Tralle, John Oprea
    Pages 1-44

  3. Nilmanifolds

    • Aleksy Tralle, John Oprea
    Pages 45-69

  4. Solvmanifolds

    • Aleksy Tralle, John Oprea
    Pages 70-119

  5. The examples of McDuff

    • Aleksy Tralle, John Oprea
    Pages 120-136

  6. Symplectic structures in total spaces of bundles

    • Aleksy Tralle, John Oprea
    Pages 137-172

  7. Survey

    • Aleksy Tralle, John Oprea
    Pages 173-199

  8. Back Matter

    Pages 200-207
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Keywords

About this book

This is a research monograph covering the majority of known results on the problem of constructing compact symplectic manifolds with no Kaehler structure with an emphasis on the use of rational homotopy theory. In recent years, some new and stimulating conjectures and problems have been formulated due to an influx of homotopical ideas. Examples include the Lupton-Oprea conjecture, the Benson-Gordon conjecture, both of which are in the spirit of some older and still unsolved problems (e.g. Thurston's conjecture and Sullivan's problem). Our explicit aim is to clarify the interrelations between certain aspects of symplectic geometry and homotopy theory in the framework of the problems mentioned above. We expect that the reader is aware of the basics of differential geometry and algebraic topology at graduate level.

Bibliographic Information

  • Book Title: Symplectic Manifolds with no Kaehler structure

  • Authors: Aleksy Tralle, John Oprea

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0092608

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1997

  • Softcover ISBN: 978-3-540-63105-7Published: 17 July 1997

  • eBook ISBN: 978-3-540-69145-7Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VIII, 208

  • Topics: Differential Geometry, Algebraic Topology

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