This is the first monograph dedicated to the systematic exposition of the whole variety of topics related to quantum cohomology. The subject first originated in theoretical physics (quantum string theory) and has continued to develop extensively over the last decade. <P>The author's approach to q
Frobenius manifolds, quantum cohomology, and moduli spaces
โ Scribed by I๏ธ U๏ธก I Manin
- Publisher
- American Mathematical Society
- Year
- 1999
- Tongue
- English
- Leaves
- 317
- Series
- Colloquium publications (American Mathematical Society), v. 47
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Synopsis
Introduction: What Is Quantum Cohomology? -- Ch. I. Introduction to Frobenius Manifolds -- Ch. II. Frobenius Manifolds and Isomonodromic Deformations -- Ch. III. Frobenius Manifolds and Moduli Spaces of Curves -- Ch. IV. Operads, Graphs, and Perturbation Series -- Ch. V. Stable Maps, Stacks, and Chow Groups -- Ch. VI. Algebraic Geometric Introduction to the Gravitational Quantum Cohomology
๐ SIMILAR VOLUMES
Book News, Inc.This monograph summarizes some of the developments that have taken place in quantum cohomology in the last decade, but does not explain the history or physical motivations. Manin begins by developing the local and global geometric and analytic theory of Frobenius manifolds, then intro
This is the first monograph dedicated to the systematic exposition of the whole variety of topics related to quantum cohomology. The subject first originated in theoretical physics (quantum string theory) and has continued to develop extensively over the last decade. The author's approach to quan
<p>Frobenius manifolds are complex manifolds with a multiplication and a metric on the holomorphic tangent bundle, which satisfy several natural conditions. This notion was defined in 1991 by Dubrovin, motivated by physics results. Another source of Frobenius manifolds is singularity theory. Duality
For those working in singularity theory or other areas of complex geometry, this volume will open the door to the study of Frobenius manifolds. In the first part Hertling explains the theory of manifolds with a multiplication on the tangent bundle. He then presents a simplified explanation of the ro