Mirror symmetry and algebraic geometry
David A. Cox, Sheldon Katz
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, Kähler geometry, moduli of stable maps, Calabi-Yau manifolds, quantum cohomology, Gromov-Witten invariants, and the mirror theorem.
Categorías:
Año:
1999
Editorial:
American Mathematical Society
Idioma:
english
Páginas:
251
ISBN 10:
082182127X
ISBN 13:
9780821821275
Serie:
Mathematical surveys and monographs 68
Archivo:
DJVU, 6.89 MB
IPFS:
,
english, 1999