237 citations · 1.2k across the 58 of their papers we have counts for
58 papers
Instantons on ALE spaces for classical groups, involutions on quiver varieties, and quantum symmetric pairs
Hiraku Nakajima
Moduli spaces of instantons on ALE spaces for classical groups are examples of fixed point sets of involutions on quiver varieties, i.e., -quiver varieties. In 2018 Yiqiang Li c…
Intersection cohomology groups of instanton moduli spaces and cotangent bundles of affine flag varieties
Hiraku Nakajima
This is an abstract for my talk at the 68th Geometry Symposium on August 31, 2021. It is based on my joint work in progress with Dinakar Muthiah: a conjectural characterization of…
A mathematical definition of Coulomb branches of supersymmetric gauge theories and geometric Satake correspondences for Kac-Moody Lie algebras
Hiraku Nakajima
This is an introductory article for a mathematical definition of Coulomb branches of 3d N=4 SUSY gauge theories and geometric Satake correspondences for Kac-Moody Lie algebras base…
Kazhdan-Lusztig conjecture via Zastava spaces
Alexander Braverman, Michael Finkelberg, Hiraku Nakajima
We deduce the Kazhdan-Lusztig conjecture on the multiplicities of simple modules over a simple complex Lie algebra in Verma modules in category O from the equivariant geometric Sat…
Rozansky-Witten geometry of Coulomb branches and logarithmic knot invariants
Sergei Gukov, Po-Shen Hsin, Hiraku Nakajima +3
By studying Rozansky-Witten theory with non-compact target spaces we find new connections with knot invariants whose physical interpretation was not known. This opens up several ne…
Euler numbers of Hilbert schemes of points on simple surface singularities and quantum dimensions of standard modules of quantum affine algebras
Hiraku Nakajima
We prove the conjecture by Gyenge, Némethi and Szendrői in arXiv:1512.06844, arXiv:1512.06848 giving a formula of the generating function of Euler numbers of Hilbert schemes of poi…