2002/05/31 by Duiliu-Emanuel Diaconescu, Bogdan Florea, Antonella Grassi
Physics and Astronomy · #hep-th
published as Adv.Theor.Math.Phys. 6 (2003) 619-642 · 24 pages, 4 figures, published version
arxiv created 2003/12/27 · arxiv updated 2009/11/30
We investigate the physical and mathematical structure of a new class of geometric transitions proposed by Aganagic and Vafa. The distinctive aspect of these transitions is the presence of open string instanton corrections to Chern-Simons theory. We find a precise match between open and closed string topological amplitudes applying a beautiful idea proposed by Witten some time ago. The closed string amplitudes are reproduced from an open string perspective as a result of a fascinating interplay of enumerative techniques and Chern-Simons computations.