Mirror Symmetry and Algebraic Geometry (Heftet)

Serie: Mathematical Surveys and Monographs 

Forfatter:

og

Forfatter: og
Innbinding: Heftet
Utgivelsesår: 1999
Antall sider: 469
Forlag: American Mathematical Society
Språk: Engelsk
Serie:
ISBN/EAN: 9780821821275
Kategori: Matematikk
Omtale Mirror Symmetry and Algebraic Geometry
Mirror symmetry began when theoretical physicists made some astonishing predictions about rational curves on quintic hypersurfaces in four-dimensional projective space. Understanding the mathematics behind these predictions has been a substantial challenge. This book is the first completely comprehensive monograph on mirror symmetry, covering the original observations by the physicists through the most recent progress made to date. Subjects discussed include toric varieties, Hodge theory, Kahler geometry, moduli of stable maps, Calabi-Yau manifolds, quantum cohomology, Gromov-Witten invariants, and the mirror theorem. This title features: numerous examples worked out in detail; an appendix on mathematical physics; an exposition of the algebraic theory of Gromov-Witten invariants and quantum cohomology; and, a proof of the mirror theorem for the quintic threefold.

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