Calabi-Yau Manifolds

Calabi-Yau Manifolds
1 959,- 1 959,-
Format E-Bok
Filformat PDF
Utgivelsesår 1992
Forlag World Scientific Publishing Co
Språk Engelsk
ISBN 9789814360227
Sider 380
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Om Calabi-Yau Manifolds

Calabi-Yau spaces are complex spaces with a vanishing first Chern class, or equivalently, with trivial canonical bundle (canonical class). They are used to construct possibly realistic (super)string models and are thus being studied vigorously in the recent physics literature.In the main part of the Book, collected and reviewed are relevant results on (1) several major techniques of constructing such spaces and (2) computation of physically relevant quantities such as massless field spectra and their Yukawa interactions. Issues of (3) stringy corrections and (4) moduli space and its geometry are still in the stage of rapid and continuing development, whence there is more emphasis on open problems here. Also is included a preliminary discussion of the conjectured universal moduli space and related open problems. Finally, several detailed models and sample computations are included throughout the Book to exemplify the techniques and the general discussion.The Book also contains a Lexicon (28 pages) of 150 assorted terms, key-words and main results and theorems, well suited for a handy reference. Although cross-referenced with the main part of the Book, the Lexicon can also be used independently.The level of mathematics is guided and developed between that of the popular Physics Reports of Eguchi, Gilkey and Hanson and the book Superstrings (Vol. 2) by Green, Schwarz and Witten on one end and Principles of Algebraic Geometry of Griffiths and Harris on the other.This is the first systematic exposition in book form of the material on Calabi-Yau spaces, related mathematics and the physics application, otherwise scattered through research articles in journals and conference proceedings.Contents: Spiritus MovensComplex KindergartenComplete Intersections in Products of Projective SpacesSome More General EmbeddingsGroup Actions, Quotients and SingularitiesEmbeddings in Weighted Projective SpacesFibred Products (C0)homology BasicsTopological Tripple Couplings(Co)homological AlgebraTangent Bundle Valued CohomologyOther Tangent Bundle Related CohomologyThe (2,1) Triple Couplings and GeneralizationParameter Spaces: From AfarParameter Spaces: A Closer LookA Prelude to Quantum GeometryReadership: High energy physicists and mathematicians.Key Features:Beautifully illustrated with author's own photographic images of the 12 European countriesOver 300 references to specialists and their works provided for further reading


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