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Description - Cohomology of Quotients in Symplectic and Algebraic Geometry. (MN-31), Volume 31 by Frances Clare Kirwan

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.

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Book Details

ISBN: 9780691083704
ISBN-10: 0691083703
Format: Paperback
(235mm x 152mm x mm)
Pages: 216
Imprint: Princeton University Press
Publisher: Princeton University Press
Publish Date: 1-Dec-1984
Country of Publication: United States

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