Mirror Symmetry and Algebraic Geometry

David A. Cox, Sheldon Katz (Autoren)

Buch | Hardcover

467 Seiten

1999
American Mathematical Society (Verlag)
978-0-8218-1059-0 (ISBN)

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This text presents a comprehensive monograph on mirror symmetry, covering the original observations by the physicists through the most recent progress made up to date. Subjects discussed include toric varieties, Hodge theory, Kahler geometry, moduli of stable maps and Calabi-Yau manifolds.

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 presents a comprehensive monograph on mirror symmetry, covering the original observations by the physicists through the most recent progress made up 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.

The quintic threefold; Toric geometry; Mirror symmetry constructions; Hodge theory and Yukawa couplings; Moduli spaces; Gromov-Witten invariants; Quantum cohomology; Localization; Quantum differential equations; The mirror theorem; Conclusion; Singular varieties.

Erscheint lt. Verlag	27.5.1999
Reihe/Serie	Mathematical Surveys and Monographs ; No.68
Zusatzinfo	Illustrations
Verlagsort	Providence
Sprache	englisch
Gewicht	1054 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	0-8218-1059-6 / 0821810596
ISBN-13	978-0-8218-1059-0 / 9780821810590
Zustand	Neuware