Cohomology of Quotients in Symplectic and Algebraic Geometry
By (author) Frances Kirwan
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Cohomology of Quotients in Symplectic and Algebraic Geometry by Frances Kirwan
Book DescriptionThese 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.
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Book DetailsISBN: 9780691083704
(235mm x 155mm x 15mm)
Imprint: Princeton University Press
Publisher: Princeton University Press
Publish Date: 1-Dec-1984
Country of Publication: United States
Books By Author Frances Kirwan
Complex Algebraic Curves, Paperback (February 1992)» View all books by Frances Kirwan
This book introduces the theory, observes the algebraic and topological properties of complex algebraic curves, and shows how they are related to complex analysis.
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