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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 geom ... More

*Keywords: *
gauge theories,
string theories,
Chern-Simons theory,
Gromov-Witten,
three-manifold geometry,
enumerative geometry,
Calabi-Yau,
knot theory

Print publication date: 2005 | Print ISBN-13: 9780198568490 |

Published to Oxford Scholarship Online: September 2007 | DOI:10.1093/acprof:oso/9780198568490.001.0001 |

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## Front Matter

## Part I Matrix models, Chern–Simons theory, and the large Nexpansion

## Part II Topological strings

## Part III The topological string/gauge theory correspondence

## End Matter

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