Mirror Symmetry and Algebraic Geometry (Mathematical Surveys and Monographs)
| Author | : | |
| Rating | : | 4.20 (677 Votes) |
| Asin | : | 082182127X |
| Format Type | : | paperback |
| Number of Pages | : | 469 Pages |
| Publish Date | : | 2017-04-12 |
| Language | : | English |
DESCRIPTION:
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.. Understanding the mathematics behind these predictions has been a substantial challenge. Mirror symmetry began when theoretical physicists made some astonishing predictions about rational curves on quintic hypersurfaces in four-dimensional projective space
Cox, Amherst College, MA . David A
"Powerful" according to Manjul Apratim. This is a very specialized text focusing on the marriage of mirror symmetry - a powerful concept that arises in String Theory - and the language of Algebraic Geometry. The book motivates the subject with an introduction to the Physics wherein such questions arise, and therefore keeps things in prespective.. Excellent overview of mirror symmetry This book is one of the few monographs on mirror symmetry that is not a collection of articles written by specialists. It attempts to put mirror symmetry on a mathematically rigorous foundation and does so to a large degree. The book opens with a review of the motivations for mirror symmetry in quantum field theory and superstring theory. The content of this chapter is straightforward reading for physicists/string theorists but mathematicians may have trouble with the physical reasoning employed. The chapter explains the motivation for the mathematical constructions performed in the rest of the book. The author d
It even contains enough details to also be useful for the mathematician who actively wants to do research in the subject." ---- Mathematical Reviews . Another problem is the scattering of many mathematical ideas throughout the physics literature, which is difficult for mathematicians to read. It can serve as an introduction both for a mathematician who wants to learn about mirror symmetry, and for a physicist who knows about mirror symmetry and wants to understand the mathematics behind it. We can be grateful to the authors for a book which not only summarizes current knowledge, but also points to the future." ---- Bulletin of the LMSFeatured Review: "The book is highly recommended for everyone who wants to learn about the fascinating recent interplay between physics and mathematics. It could also be used as a starting reference for mathema