{"product_id":"an-introduction-to-invariants-and-moduli-hardback-9780521809061","title":"An Introduction to Invariants and Moduli (Hardback) 9780521809061","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eAn Introduction to Invariants and Moduli\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eThis 2003 volume consists of the first two volumes of Mukai's series on moduli theory.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eShigeru Mukai (Author), W. M. Oxbury (Translated by)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521809061, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 8 September 2003\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e524 pages\u003cbr\u003e22.5 x 15.8 x 3.1 cm, 0.94 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003eReview of the hardback: 'The book contains a great amount of material, but it remains very readable. The author has obviously put a lot of effort into making even the complicated topics accessible.' Gábor Megyesi, UMIST\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eIncorporated in this 2003 volume are the first two books in Mukai's series on moduli theory. The notion of a moduli space is central to geometry. However, its influence is not confined there; for example, the theory of moduli spaces is a crucial ingredient in the proof of Fermat's last theorem. Researchers and graduate students working in areas ranging from Donaldson or Seiberg-Witten invariants to more concrete problems such as vector bundles on curves will find this to be a valuable resource. Amongst other things this volume includes an improved presentation of the classical foundations of invarant theory that, in addition to geometers, would be useful to those studying representation theory. This translation gives an accurate account of Mukai's influential Japanese texts.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1. Invariants and moduli\u003cbr\u003e 2. Rings and polynomials\u003cbr\u003e 3. Algebraic varieties\u003cbr\u003e 4. Algebraic groups and rings of invariants\u003cbr\u003e 5. Construction of quotient spaces\u003cbr\u003e 6. Global construction of quotient varieties\u003cbr\u003e 7. Grassmannians and vector bundles\u003cbr\u003e 8. Curves and their Jacobians\u003cbr\u003e 9. Stable vector bundles on curves\u003cbr\u003e 10. Moduli functors\u003cbr\u003e 11. Intersection numbers and the Verlinde formula\u003cbr\u003e 12. The numerical criterion and its applications.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Topology [\u003ca title=\"See our other books on Topology\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Topology%20%5BPBP%5D%22\"\u003ePBP\u003c\/a\u003e], Geometry [\u003ca title=\"See our other books on Geometry\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Geometry%20%5BPBM%5D%22\"\u003ePBM\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46005788279064,"sku":"9780521809061","price":132.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521809061i_a70c3190-105c-47c2-9397-db3075ea0aec.jpg?v=1691368258","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/an-introduction-to-invariants-and-moduli-hardback-9780521809061","provider":"Freshly Printed Books","version":"1.0","type":"link"}