Overview
In recent years, the old idea that gauge theories and string theories are equivalent has been implemented and developed in various ways, and there are by now various models where the string theory / gauge theory correspondence is at work. One of the most important examples of this correspondence relates Chern-Simons theory, a topological gauge theory in three dimensions which describes knot and three-manifold invariants, to topological string theory, which is deeply related to Gromov-Witten invariants. This has led to some surprising relations between three-manifold geometry and enumerative geometry. This book gives the first coherent presentation of this and other related topics. After an introduction to matrix models and Chern-Simons theory, the book describes in detail the topological string theories that correspond to these gauge theories and develops the mathematical implications of this duality for the enumerative geometry of Calabi-Yau manifolds and knot theory. It is written in a pedagogical style and will be useful reading for graduate students and researchers in both mathematics and physics willing to learn about these developments.
Full Product Details
Author: Marcos Marino (Full Professor, Full Professor, Department of Mathematics, University of Geneva)
Publisher: Oxford University Press
Imprint: Oxford University Press
Volume: 131
Dimensions:
Width: 16.00cm
, Height: 1.00cm
, Length: 23.60cm
Weight: 0.378kg
ISBN: 9780198726333
ISBN 10: 0198726333
Pages: 224
Publication Date: 21 May 2015
Audience:
Professional and scholarly
,
Professional & Vocational
Format: Paperback
Publisher's Status: Active
Availability: To order
Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us.
Reviews
... very carefully written ... will inspire a wide range of physicists and mathematicians for a long period of time. Albrecht Klemm, University of Wisconsin The book gives a good overview of the developments in the field, in which its author has himself played an important role. The book shows nicely how the different ideas are related, and how they can be combined to allow one to do very explicit calculations. Marcel L. Vonk, Mathematical Reviews
The book gives a good overview of the developments in the field, in which its author has himself played an important role. The book shows nicely how the different ideas are related, and how they can be combined to allow one to do very explicit calculations. * Marcel L. Vonk, Mathematical Reviews * ... very carefully written ... will inspire a wide range of physicists and mathematicians for a long period of time. * Albrecht Klemm, University of Wisconsin *
Author Information
Marcos Marino, Full Professor, Department of Mathematics, University of Geneva
