418 citations · 1.3k across the 15 of their papers we have counts for
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Developments in Topological Gravity
Robbert Dijkgraaf, Edward Witten
This note aims to provide an entrée to two developments in two-dimensional topological gravity -- that is, intersection theory on the moduli space of Riemann surfaces -- that have…
The Volume Conjecture, Perturbative Knot Invariants, and Recursion Relations for Topological Strings
Robbert Dijkgraaf, Hiroyuki Fuji, Masahide Manabe
We study the relation between perturbative knot invariants and the free energies defined by topological string theory on the character variety of the knot. Such a correspondence be…
Toda Theories, Matrix Models, Topological Strings, and N=2 Gauge Systems
Robbert Dijkgraaf, Cumrun Vafa
We consider the topological string partition function, including the Nekrasov deformation, for type IIB geometries with an A_{n-1} singularity over a Riemann surface. These models…
The Volume Conjecture and Topological Strings
Robbert Dijkgraaf, Hiroyuki Fuji
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 Hami…
Relating Field Theories via Stochastic Quantization
Robbert Dijkgraaf, Domenico Orlando, Susanne Reffert
This note aims to subsume several apparently unrelated models under a common framework. Several examples of well-known quantum field theories are listed which are connected via sto…
Two Dimensional Kodaira-Spencer Theory and Three Dimensional Chern-Simons Gravity
Robbert Dijkgraaf, Cumrun Vafa
Motivated by the six dimensional formulation of Kodaira-Spencer theory for Calabi-Yau threefolds, we formulate a two dimensional version and argue that this is the relevant field t…