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    Cohomology of Quotients in Symplectic and Algebraic Geometry. (MN-31), Volume 31
    Cohomology of Quotients in Symplectic and Algebraic Geometry. (MN-31), Volume 31
    Cohomology of Quotients in Symplectic and Algebraic Geometry. (MN-31), Volume 31
    Ebook217 pages3 hours

    Cohomology of Quotients in Symplectic and Algebraic Geometry. (MN-31), Volume 31

    By Frances Clare Kirwan

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    About this ebook

    These notes describe a general procedure for calculating the Betti numbers of the projective quotient varieties that geometric invariant theory associates to reductive group actions on nonsingular complex projective varieties. These quotient varieties are interesting in particular because of their relevance to moduli problems in algebraic geometry. The author describes two different approaches to the problem. One is purely algebraic, while the other uses the methods of symplectic geometry and Morse theory, and involves extending classical Morse theory to certain degenerate functions.

    LanguageEnglish
    PublisherPrinceton University Press
    Release dateJun 30, 2020
    ISBN9780691214566
    Cohomology of Quotients in Symplectic and Algebraic Geometry. (MN-31), Volume 31

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