| Titel | The Volume Conjecture and Topological Strings |
|---|---|
| Gepubliceerd in | Fortschritte der Physik, Vol. 59, No. 9, p.825-856. ISSN 00158208. |
| Auteur | Dijkgraaf, R.H.; Fuji, H. |
| Datum | 2009 |
| Type | artikel |
| Uitgever | Wiley |
| Samenvatting | In this paper, we discuss a relation between Jones-Witten theory of knot invariants and topological open string theory on the basis of the volume conjecture. We find a similar Hamiltonian structure for both theories, and interpret the AJ conjecture as the D-module structure for a D-brane partition function. In order to verify our claim, we compute the free energy for the annulus contributions in the topological string using the Chern-Simons matrix model, and find that it coincides with the Reidemeister torsion in the case of the figure-eight knot complement and the SnapPea census manifold m009. |
| Publicatie | http://depot.knaw.nl/3871/ |
| Persistent Identifier | URN:NBN:NL:UI:17-3871 |
| Metadata | XML |
| Repository | KNAW |
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