675 citations · 6.5k across the 52 of their papers we have counts for
52 papers
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…
Negative Branes, Supergroups and the Signature of Spacetime
Robbert Dijkgraaf, Ben Heidenreich, Patrick Jefferson +1
We study the realization of supergroup gauge theories using negative branes in string theory. We show that negative branes are intimately connected with the possibility of timelike…
Quantum Geometry of Refined Topological Strings
Mina Aganagic, Miranda C. N. Cheng, Robbert Dijkgraaf +2
We consider branes in refined topological strings. We argue that their wave-functions satisfy a Schrödinger equation depending on multiple times and prove this in the case where th…
Non-Perturbative Topological Strings And Conformal Blocks
Miranda C. N. Cheng, Robbert Dijkgraaf, Cumrun Vafa
We give a non-perturbative completion of a class of closed topological string theories in terms of building blocks of dual open strings. In the specific case where the open string…
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…