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Cohomology of Quotients in Symplectic and Algebraic Geometry
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Cohomology of Quotients in Symplectic and Algebraic Geometry

Book Details

Format Paperback / Softback
ISBN-10 0691083703
ISBN-13 9780691083704
Publisher Princeton University Press
Imprint Princeton University Press
Country of Manufacture US
Country of Publication GB
Publication Date Dec 21st, 1984
Print length 216 Pages
Weight 350 grams
Dimensions 15.80 x 23.40 x 1.80 cms
Product Classification: AlgebraAlgebraic topology
Ksh 15,850.00
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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.

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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