Chern-Simons Theory, Matrix Models, and Topological Strings (International Series of Monographs on Physics)
Oxford University Press, USA | November 24, 2005 | ISBN-10: 0198568495 | 216 pages | PDF | 1 mb
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.