51 citations · 107 across the 5 of their papers we have counts for
5 papers
Branes and DAHA Representations
Sergei Gukov, Peter Koroteev, Satoshi Nawata +2
Using brane quantization, we study the representation theory of the spherical double affine Hecke algebra of type in terms of the topological A-model on the moduli space of f…
Symmetries of 2d TQFTs and Equivariant Verlinde Formulae for General Groups
Sergei Gukov, Du Pei, Charles Reid +1
We study (generalized) discrete symmetries of 2d semisimple TQFTs. These are 2d TQFTs whose fusion rules can be diagonalized. We show that, in this special basis, the 0-form symmet…
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…
The Verlinde formula for Higgs bundles
Jørgen Ellegaard Andersen, Sergei Gukov, Du Pei
We propose and prove the Verlinde formula for the quantization of the Higgs bundle moduli spaces and stacks for any simple and simply-connected group. This generalizes the equivari…
Equivariant Verlinde formula from fivebranes and vortices
Sergei Gukov, Du Pei
We study complex Chern-Simons theory on a Seifert manifold by embedding it into string theory. We show that complex Chern-Simons theory on is equivalent to a topologica…