An Introduction to Invariants and Moduli

Shigeru Mukai (Nagoya University, Japan), W. M. Oxbury (University of Durham)

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English

Cambridge University Press
16 August 2012

Geometry; Topology

Series: Cambridge Studies in Advanced Mathematics

Incorporated 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.

By: Shigeru Mukai (Nagoya University Japan)
Translated by: W. M. Oxbury (University of Durham)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Volume: 81
Dimensions: Height: 229mm, Width: 152mm, Spine: 30mm
Weight: 760g
ISBN: 9781107406360
ISBN 10: 1107406366
Series: Cambridge Studies in Advanced Mathematics
Pages: 524
Publication Date: 16 August 2012
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

Reviews for An Introduction to Invariants and Moduli

Review 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.' Gabor Megyesi, UMIST All together, this is a marvellous and masterly introduction to moduli theory and its allied invariant theory. The exposition fascinates by great originality, glaring expertise, art of easiness and lucidity, up-to-dateness, reader-friendliness, and power of inspiration. --Werner Kleinert, Zentralblatt MATH