{"product_id":"cohomology-of-quotients-in-symplectic-frances-clare-kirwan-9780691083704","title":"Cohomology of Quotients in Symplectic and Algebraic Geometry. (Mn-31), Volume 31","description":"\u003cp\u003eThese 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.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Frances Clare Kirwan\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 0691083703\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9780691083704\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Princeton University Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 12\/21\/1984\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 216\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.60lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 8.76h x 6.13w x 0.58d","brand":"Frances Clare Kirwan","offers":[{"title":"Paperback","offer_id":48086765175039,"sku":"9780691083704","price":104.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_30c0a474-99e2-4093-9fda-ea51fc74b8ec.jpg?v=1769096445","url":"https:\/\/www.whiterainbookhouse.com\/products\/cohomology-of-quotients-in-symplectic-frances-clare-kirwan-9780691083704","provider":"WR Book House","version":"1.0","type":"link"}