135 citations · 317 across the 4 of their papers we have counts for
9 papers
Gromov-Witten theory and Donaldson-Thomas theory, II
D. Maulik, N. Nekrasov, A. Okounkov +1
We discuss the GW/DT correspondence for 3-folds in both the absolute and relative cases. Descendents in Gromov-Witten theory are conjectured to be equivalent to Chern characters of…
Seiberg-Witten Theory and Random Partitions
Nikita Nekrasov, Andrei Okounkov
We study N=2 supersymmetric four dimensional gauge theories, in a certain N=2 supergravity background, called Omega-background. The partition function of the theory in the Omega-ba…
Seiberg-Witten prepotential from instanton counting
Nikita A. Nekrasov
In my lecture I consider integrals over moduli spaces of supersymmetric gauge field configurations (instantons, Higgs bundles, torsion free sheaves). The applications are twofold:…
Small Instantons, Little Strings and Free Fermions
Andrei S. Losev, Andrei Marshakov, Nikita A. Nekrasov
We present new evidence for the conjecture that BPS correlation functions in the N=2 supersymmetric gauge theories are described by an auxiliary two dimensional conformal field the…
Lectures on open strings, and noncommutative gauge fields
Nikita A. Nekrasov
The background independent formulation of the gauge theories on D-branes in flat space-time is considered, some examples of the solutions of their equations of motion are presented…
Instantons, Hilbert Schemes and Integrability
H. W. Braden, N. A. Nekrasov
We review the deformed instanton equations making connection with Hilbert schemes and integrable systems. A single U(1) instanton is shown to be \asd\ with respect to the Burns met…