Ooguri, Hirosi (2009) Geometry as seen by string theory. Japanese Journal of Mathematics , 4 (2). pp. 95-120. ISSN 0289-2316 http://resolver.caltech.edu/CaltechAUTHORS:20100121-141325818
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This is an introductory review of the topological string theory from physicist’s perspective. I start with the definition of the theory and describe its relation to the Gromov–Witten invariants. The BCOV holomorphic anomaly equations, which generalize the Quillen anomaly formula, can be used to compute higher genus partition functions of the theory. The open/closed string duality relates the closed topological string theory to the Chern–Simons gauge theory and the random matrix model. As an application of the topological string theory, I discuss the counting of bound states of D-branes.
|Additional Information:||© The Mathematical Society of Japan and Springer 2009. Received: 22 January 2009. Revised: 29 April 2009. Accepted: 6 May 2009 Published online: 25 December 2009. Communicated by: Hiraku Nakajima. This article is based on the 4th Takagi Lectures that the author delivered at the Kyoto University on June 21, 2008.|
|Subject Keywords:||topological string theory|
|Classification Code:||Mathematics Subject Classification (2000): 14N35, 81T30.|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Tony Diaz|
|Deposited On:||28 Jan 2010 19:44|
|Last Modified:||26 Dec 2012 11:43|
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