| Titel | The volume conjecture and topological strings |
|---|---|
| Gepubliceerd in | Fortschritte der Physik, Vol. 57, No. 9, p.825-856. ISSN 00158208. |
| Auteur | Dijkgraaf, R.; Fuji, H. |
| Datum | 2009 |
| Type | artikel |
| 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://dare.uva.nl/record/372320 |
| OpenURL | Zoek deze publicatie in (uw) bibliotheek |
| Persistent Identifier | urn:nbn:nl:ui:29-372320 |
| Metadata | XML |
| Repository | Universiteit van Amsterdam |
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